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Finding the Fourth Proportional to 169.46, 253.14 and 143.66

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Solution

The fourth proportional to 169.46, 253.14 and 143.66 is: 214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.46 : 253.14 = 143.66 : x
  2. Step 2: Convert to fraction form
    169.46/253.14 = 143.66/x
  3. Step 3: Cross multiply
    169.46x = 253.14 × 143.66
  4. Step 4: Simplify right side
    169.46x = 36,366.09
  5. Step 5: Solve for x
    x = 36,366.09/169.46
  6. Step 6: Final answer
    x = 214.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.