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Finding the Fourth Proportional to 177.10, 265.65 and 55.37

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Solution

The fourth proportional to 177.10, 265.65 and 55.37 is: 83.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 265.65 = 55.37 : x
  2. Step 2: Convert to fraction form
    177.10/265.65 = 55.37/x
  3. Step 3: Cross multiply
    177.10x = 265.65 × 55.37
  4. Step 4: Simplify right side
    177.10x = 14,709.04
  5. Step 5: Solve for x
    x = 14,709.04/177.10
  6. Step 6: Final answer
    x = 83.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.