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Finding the Fourth Proportional to 228.64, 342.74 and 84.25

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Solution

The fourth proportional to 228.64, 342.74 and 84.25 is: 126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.64 : 342.74 = 84.25 : x
  2. Step 2: Convert to fraction form
    228.64/342.74 = 84.25/x
  3. Step 3: Cross multiply
    228.64x = 342.74 × 84.25
  4. Step 4: Simplify right side
    228.64x = 28,875.85
  5. Step 5: Solve for x
    x = 28,875.85/228.64
  6. Step 6: Final answer
    x = 126.29

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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.