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Finding the Fourth Proportional to 345.02, 517.46 and 128.54

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Solution

The fourth proportional to 345.02, 517.46 and 128.54 is: 192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.02 : 517.46 = 128.54 : x
  2. Step 2: Convert to fraction form
    345.02/517.46 = 128.54/x
  3. Step 3: Cross multiply
    345.02x = 517.46 × 128.54
  4. Step 4: Simplify right side
    345.02x = 66,514.96
  5. Step 5: Solve for x
    x = 66,514.96/345.02
  6. Step 6: Final answer
    x = 192.79

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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.