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Finding the Fourth Proportional to 340.55, 510.64 and 166.85

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Solution

The fourth proportional to 340.55, 510.64 and 166.85 is: 250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.55 : 510.64 = 166.85 : x
  2. Step 2: Convert to fraction form
    340.55/510.64 = 166.85/x
  3. Step 3: Cross multiply
    340.55x = 510.64 × 166.85
  4. Step 4: Simplify right side
    340.55x = 85,199.70
  5. Step 5: Solve for x
    x = 85,199.70/340.55
  6. Step 6: Final answer
    x = 250.18

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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.