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Finding the Fourth Proportional to 288.74, 433.10 and 106.05

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Solution

The fourth proportional to 288.74, 433.10 and 106.05 is: 159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.74 : 433.10 = 106.05 : x
  2. Step 2: Convert to fraction form
    288.74/433.10 = 106.05/x
  3. Step 3: Cross multiply
    288.74x = 433.10 × 106.05
  4. Step 4: Simplify right side
    288.74x = 45,929.72
  5. Step 5: Solve for x
    x = 45,929.72/288.74
  6. Step 6: Final answer
    x = 159.07

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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.