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Finding the Fourth Proportional to 177.88, 265.37 and 165.64

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Solution

The fourth proportional to 177.88, 265.37 and 165.64 is: 247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.88 : 265.37 = 165.64 : x
  2. Step 2: Convert to fraction form
    177.88/265.37 = 165.64/x
  3. Step 3: Cross multiply
    177.88x = 265.37 × 165.64
  4. Step 4: Simplify right side
    177.88x = 43,955.89
  5. Step 5: Solve for x
    x = 43,955.89/177.88
  6. Step 6: Final answer
    x = 247.11

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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.