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Finding the Fourth Proportional to 252.14, 377.50 and 165.58

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Solution

The fourth proportional to 252.14, 377.50 and 165.58 is: 247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.14 : 377.50 = 165.58 : x
  2. Step 2: Convert to fraction form
    252.14/377.50 = 165.58/x
  3. Step 3: Cross multiply
    252.14x = 377.50 × 165.58
  4. Step 4: Simplify right side
    252.14x = 62,506.45
  5. Step 5: Solve for x
    x = 62,506.45/252.14
  6. Step 6: Final answer
    x = 247.90

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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.