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Finding the Fourth Proportional to 339.96, 510.24 and 224.76

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Solution

The fourth proportional to 339.96, 510.24 and 224.76 is: 337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.96 : 510.24 = 224.76 : x
  2. Step 2: Convert to fraction form
    339.96/510.24 = 224.76/x
  3. Step 3: Cross multiply
    339.96x = 510.24 × 224.76
  4. Step 4: Simplify right side
    339.96x = 114,681.54
  5. Step 5: Solve for x
    x = 114,681.54/339.96
  6. Step 6: Final answer
    x = 337.34

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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.