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Finding the Fourth Proportional to 288.52, 432.98 and 106.06

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Solution

The fourth proportional to 288.52, 432.98 and 106.06 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 432.98 = 106.06 : x
  2. Step 2: Convert to fraction form
    288.52/432.98 = 106.06/x
  3. Step 3: Cross multiply
    288.52x = 432.98 × 106.06
  4. Step 4: Simplify right side
    288.52x = 45,921.86
  5. Step 5: Solve for x
    x = 45,921.86/288.52
  6. Step 6: Final answer
    x = 159.16

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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.