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Finding the Fourth Proportional to 340.70, 510.70 and 167.10

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Solution

The fourth proportional to 340.70, 510.70 and 167.10 is: 250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.70 : 510.70 = 167.10 : x
  2. Step 2: Convert to fraction form
    340.70/510.70 = 167.10/x
  3. Step 3: Cross multiply
    340.70x = 510.70 × 167.10
  4. Step 4: Simplify right side
    340.70x = 85,337.97
  5. Step 5: Solve for x
    x = 85,337.97/340.70
  6. Step 6: Final answer
    x = 250.48

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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.