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Finding the Fourth Proportional to 456.53, 685.13 and 182.70

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Solution

The fourth proportional to 456.53, 685.13 and 182.70 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.53 : 685.13 = 182.70 : x
  2. Step 2: Convert to fraction form
    456.53/685.13 = 182.70/x
  3. Step 3: Cross multiply
    456.53x = 685.13 × 182.70
  4. Step 4: Simplify right side
    456.53x = 125,173.02
  5. Step 5: Solve for x
    x = 125,173.02/456.53
  6. Step 6: Final answer
    x = 274.18

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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.