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Finding the Fourth Proportional to 348.64, 522.82 and 101.76

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Solution

The fourth proportional to 348.64, 522.82 and 101.76 is: 152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.64 : 522.82 = 101.76 : x
  2. Step 2: Convert to fraction form
    348.64/522.82 = 101.76/x
  3. Step 3: Cross multiply
    348.64x = 522.82 × 101.76
  4. Step 4: Simplify right side
    348.64x = 53,202.29
  5. Step 5: Solve for x
    x = 53,202.29/348.64
  6. Step 6: Final answer
    x = 152.60

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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.