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Finding the Fourth Proportional to 177.83, 265.55 and 175.92

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Solution

The fourth proportional to 177.83, 265.55 and 175.92 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.83 : 265.55 = 175.92 : x
  2. Step 2: Convert to fraction form
    177.83/265.55 = 175.92/x
  3. Step 3: Cross multiply
    177.83x = 265.55 × 175.92
  4. Step 4: Simplify right side
    177.83x = 46,714.68
  5. Step 5: Solve for x
    x = 46,714.68/177.83
  6. Step 6: Final answer
    x = 262.70

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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.