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Finding the Fourth Proportional to 456.92, 685.60 and 183.20

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Solution

The fourth proportional to 456.92, 685.60 and 183.20 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 685.60 = 183.20 : x
  2. Step 2: Convert to fraction form
    456.92/685.60 = 183.20/x
  3. Step 3: Cross multiply
    456.92x = 685.60 × 183.20
  4. Step 4: Simplify right side
    456.92x = 125,603.18
  5. Step 5: Solve for x
    x = 125,603.18/456.92
  6. Step 6: Final answer
    x = 274.89

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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.