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Finding the Fourth Proportional to 177.96, 265.02 and 175.80

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Solution

The fourth proportional to 177.96, 265.02 and 175.80 is: 261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.96 : 265.02 = 175.80 : x
  2. Step 2: Convert to fraction form
    177.96/265.02 = 175.80/x
  3. Step 3: Cross multiply
    177.96x = 265.02 × 175.80
  4. Step 4: Simplify right side
    177.96x = 46,590.52
  5. Step 5: Solve for x
    x = 46,590.52/177.96
  6. Step 6: Final answer
    x = 261.80

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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.