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Finding the Fourth Proportional to 340.41, 510.77 and 167.24

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Solution

The fourth proportional to 340.41, 510.77 and 167.24 is: 250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 510.77 = 167.24 : x
  2. Step 2: Convert to fraction form
    340.41/510.77 = 167.24/x
  3. Step 3: Cross multiply
    340.41x = 510.77 × 167.24
  4. Step 4: Simplify right side
    340.41x = 85,417.78
  5. Step 5: Solve for x
    x = 85,417.78/340.41
  6. Step 6: Final answer
    x = 250.93

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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.