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Finding the Fourth Proportional to 177.84, 265.56 and 160.80

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Solution

The fourth proportional to 177.84, 265.56 and 160.80 is: 240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 265.56 = 160.80 : x
  2. Step 2: Convert to fraction form
    177.84/265.56 = 160.80/x
  3. Step 3: Cross multiply
    177.84x = 265.56 × 160.80
  4. Step 4: Simplify right side
    177.84x = 42,702.05
  5. Step 5: Solve for x
    x = 42,702.05/177.84
  6. Step 6: Final answer
    x = 240.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.