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Finding the Fourth Proportional to 775.90, 1,164.03 and 228.16

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Solution

The fourth proportional to 775.90, 1,164.03 and 228.16 is: 342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.90 : 1,164.03 = 228.16 : x
  2. Step 2: Convert to fraction form
    775.90/1,164.03 = 228.16/x
  3. Step 3: Cross multiply
    775.90x = 1,164.03 × 228.16
  4. Step 4: Simplify right side
    775.90x = 265,585.08
  5. Step 5: Solve for x
    x = 265,585.08/775.90
  6. Step 6: Final answer
    x = 342.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.