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Finding the Fourth Proportional to 174.74, 240.98 and 160.02

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Solution

The fourth proportional to 174.74, 240.98 and 160.02 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.74 : 240.98 = 160.02 : x
  2. Step 2: Convert to fraction form
    174.74/240.98 = 160.02/x
  3. Step 3: Cross multiply
    174.74x = 240.98 × 160.02
  4. Step 4: Simplify right side
    174.74x = 38,560.82
  5. Step 5: Solve for x
    x = 38,560.82/174.74
  6. Step 6: Final answer
    x = 220.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.