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Finding the Fourth Proportional to 339.72, 510.03 and 157.17

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Solution

The fourth proportional to 339.72, 510.03 and 157.17 is: 235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 510.03 = 157.17 : x
  2. Step 2: Convert to fraction form
    339.72/510.03 = 157.17/x
  3. Step 3: Cross multiply
    339.72x = 510.03 × 157.17
  4. Step 4: Simplify right side
    339.72x = 80,161.42
  5. Step 5: Solve for x
    x = 80,161.42/339.72
  6. Step 6: Final answer
    x = 235.96

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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.