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Finding the Fourth Proportional to 175.66, 242.25 and 113.50

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Solution

The fourth proportional to 175.66, 242.25 and 113.50 is: 156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.66 : 242.25 = 113.50 : x
  2. Step 2: Convert to fraction form
    175.66/242.25 = 113.50/x
  3. Step 3: Cross multiply
    175.66x = 242.25 × 113.50
  4. Step 4: Simplify right side
    175.66x = 27,495.38
  5. Step 5: Solve for x
    x = 27,495.38/175.66
  6. Step 6: Final answer
    x = 156.53

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Why These Related Problems?

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