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Finding the Fourth Proportional to 288.42, 432.76 and 126.15

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Solution

The fourth proportional to 288.42, 432.76 and 126.15 is: 189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.42 : 432.76 = 126.15 : x
  2. Step 2: Convert to fraction form
    288.42/432.76 = 126.15/x
  3. Step 3: Cross multiply
    288.42x = 432.76 × 126.15
  4. Step 4: Simplify right side
    288.42x = 54,592.67
  5. Step 5: Solve for x
    x = 54,592.67/288.42
  6. Step 6: Final answer
    x = 189.28

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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.