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Finding the Fourth Proportional to 175.62, 242.16 and 110.04

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Solution

The fourth proportional to 175.62, 242.16 and 110.04 is: 151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.62 : 242.16 = 110.04 : x
  2. Step 2: Convert to fraction form
    175.62/242.16 = 110.04/x
  3. Step 3: Cross multiply
    175.62x = 242.16 × 110.04
  4. Step 4: Simplify right side
    175.62x = 26,647.29
  5. Step 5: Solve for x
    x = 26,647.29/175.62
  6. Step 6: Final answer
    x = 151.73

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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.