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Finding the Fourth Proportional to 177.80, 268.35 and 177.80

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Solution

The fourth proportional to 177.80, 268.35 and 177.80 is: 268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.80 : 268.35 = 177.80 : x
  2. Step 2: Convert to fraction form
    177.80/268.35 = 177.80/x
  3. Step 3: Cross multiply
    177.80x = 268.35 × 177.80
  4. Step 4: Simplify right side
    177.80x = 47,710.62
  5. Step 5: Solve for x
    x = 47,710.62/177.80
  6. Step 6: Final answer
    x = 268.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.