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Finding the Fourth Proportional to 182.70, 275.52 and 174.78

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Solution

The fourth proportional to 182.70, 275.52 and 174.78 is: 263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.70 : 275.52 = 174.78 : x
  2. Step 2: Convert to fraction form
    182.70/275.52 = 174.78/x
  3. Step 3: Cross multiply
    182.70x = 275.52 × 174.78
  4. Step 4: Simplify right side
    182.70x = 48,155.39
  5. Step 5: Solve for x
    x = 48,155.39/182.70
  6. Step 6: Final answer
    x = 263.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.