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Finding the Fourth Proportional to 175.91, 242.80 and 102.25

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Solution

The fourth proportional to 175.91, 242.80 and 102.25 is: 141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.91 : 242.80 = 102.25 : x
  2. Step 2: Convert to fraction form
    175.91/242.80 = 102.25/x
  3. Step 3: Cross multiply
    175.91x = 242.80 × 102.25
  4. Step 4: Simplify right side
    175.91x = 24,826.35
  5. Step 5: Solve for x
    x = 24,826.35/175.91
  6. Step 6: Final answer
    x = 141.13

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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.