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Finding the Fourth Proportional to 288.31, 432.16 and 115.07

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Solution

The fourth proportional to 288.31, 432.16 and 115.07 is: 172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.31 : 432.16 = 115.07 : x
  2. Step 2: Convert to fraction form
    288.31/432.16 = 115.07/x
  3. Step 3: Cross multiply
    288.31x = 432.16 × 115.07
  4. Step 4: Simplify right side
    288.31x = 49,728.65
  5. Step 5: Solve for x
    x = 49,728.65/288.31
  6. Step 6: Final answer
    x = 172.48

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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.