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Finding the Fourth Proportional to 177.80, 265.41 and 165.64

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Solution

The fourth proportional to 177.80, 265.41 and 165.64 is: 247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.80 : 265.41 = 165.64 : x
  2. Step 2: Convert to fraction form
    177.80/265.41 = 165.64/x
  3. Step 3: Cross multiply
    177.80x = 265.41 × 165.64
  4. Step 4: Simplify right side
    177.80x = 43,962.51
  5. Step 5: Solve for x
    x = 43,962.51/177.80
  6. Step 6: Final answer
    x = 247.26

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