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Finding the Fourth Proportional to 348.14, 522.10 and 117

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Solution

The fourth proportional to 348.14, 522.10 and 117 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.14 : 522.10 = 117 : x
  2. Step 2: Convert to fraction form
    348.14/522.10 = 117/x
  3. Step 3: Cross multiply
    348.14x = 522.10 × 117
  4. Step 4: Simplify right side
    348.14x = 61,085.70
  5. Step 5: Solve for x
    x = 61,085.70/348.14
  6. Step 6: Final answer
    x = 175.46

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Why These Related Problems?

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