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Finding the Fourth Proportional to 288.08, 432.29 and 114.71

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Solution

The fourth proportional to 288.08, 432.29 and 114.71 is: 172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.08 : 432.29 = 114.71 : x
  2. Step 2: Convert to fraction form
    288.08/432.29 = 114.71/x
  3. Step 3: Cross multiply
    288.08x = 432.29 × 114.71
  4. Step 4: Simplify right side
    288.08x = 49,585.25
  5. Step 5: Solve for x
    x = 49,585.25/288.08
  6. Step 6: Final answer
    x = 172.13

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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.