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Finding the Fourth Proportional to 348.38, 522.63 and 117.24

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Solution

The fourth proportional to 348.38, 522.63 and 117.24 is: 175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.38 : 522.63 = 117.24 : x
  2. Step 2: Convert to fraction form
    348.38/522.63 = 117.24/x
  3. Step 3: Cross multiply
    348.38x = 522.63 × 117.24
  4. Step 4: Simplify right side
    348.38x = 61,273.14
  5. Step 5: Solve for x
    x = 61,273.14/348.38
  6. Step 6: Final answer
    x = 175.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.