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Finding the Fourth Proportional to 268.35, 402.66 and 177.09

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Solution

The fourth proportional to 268.35, 402.66 and 177.09 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.35 : 402.66 = 177.09 : x
  2. Step 2: Convert to fraction form
    268.35/402.66 = 177.09/x
  3. Step 3: Cross multiply
    268.35x = 402.66 × 177.09
  4. Step 4: Simplify right side
    268.35x = 71,307.06
  5. Step 5: Solve for x
    x = 71,307.06/268.35
  6. Step 6: Final answer
    x = 265.72

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