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Finding the Fourth Proportional to 175.52, 242.16 and 128.96

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Solution

The fourth proportional to 175.52, 242.16 and 128.96 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.52 : 242.16 = 128.96 : x
  2. Step 2: Convert to fraction form
    175.52/242.16 = 128.96/x
  3. Step 3: Cross multiply
    175.52x = 242.16 × 128.96
  4. Step 4: Simplify right side
    175.52x = 31,228.95
  5. Step 5: Solve for x
    x = 31,228.95/175.52
  6. Step 6: Final answer
    x = 177.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.