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Finding the Fourth Proportional to 175.87, 242.68 and 110.26

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Solution

The fourth proportional to 175.87, 242.68 and 110.26 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.87 : 242.68 = 110.26 : x
  2. Step 2: Convert to fraction form
    175.87/242.68 = 110.26/x
  3. Step 3: Cross multiply
    175.87x = 242.68 × 110.26
  4. Step 4: Simplify right side
    175.87x = 26,756.13
  5. Step 5: Solve for x
    x = 26,756.13/175.87
  6. Step 6: Final answer
    x = 152.14

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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.