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Finding the Fourth Proportional to 348.80, 523.12 and 102.01

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Solution

The fourth proportional to 348.80, 523.12 and 102.01 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.80 : 523.12 = 102.01 : x
  2. Step 2: Convert to fraction form
    348.80/523.12 = 102.01/x
  3. Step 3: Cross multiply
    348.80x = 523.12 × 102.01
  4. Step 4: Simplify right side
    348.80x = 53,361.91
  5. Step 5: Solve for x
    x = 53,361.91/348.80
  6. Step 6: Final answer
    x = 152.99

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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.