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Finding the Fourth Proportional to 342.57, 513.86 and 99.10

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Solution

The fourth proportional to 342.57, 513.86 and 99.10 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.57 : 513.86 = 99.10 : x
  2. Step 2: Convert to fraction form
    342.57/513.86 = 99.10/x
  3. Step 3: Cross multiply
    342.57x = 513.86 × 99.10
  4. Step 4: Simplify right side
    342.57x = 50,923.67
  5. Step 5: Solve for x
    x = 50,923.67/342.57
  6. Step 6: Final answer
    x = 148.65

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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.