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Finding the Fourth Proportional to 288.16, 432.24 and 116.96

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Solution

The fourth proportional to 288.16, 432.24 and 116.96 is: 175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 432.24 = 116.96 : x
  2. Step 2: Convert to fraction form
    288.16/432.24 = 116.96/x
  3. Step 3: Cross multiply
    288.16x = 432.24 × 116.96
  4. Step 4: Simplify right side
    288.16x = 50,554.79
  5. Step 5: Solve for x
    x = 50,554.79/288.16
  6. Step 6: Final answer
    x = 175.44

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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.