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Finding the Fourth Proportional to 342.53, 513.84 and 99.02

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Solution

The fourth proportional to 342.53, 513.84 and 99.02 is: 148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.53 : 513.84 = 99.02 : x
  2. Step 2: Convert to fraction form
    342.53/513.84 = 99.02/x
  3. Step 3: Cross multiply
    342.53x = 513.84 × 99.02
  4. Step 4: Simplify right side
    342.53x = 50,882.09
  5. Step 5: Solve for x
    x = 50,882.09/342.53
  6. Step 6: Final answer
    x = 148.55

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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.