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Finding the Fourth Proportional to 177.65, 266.48 and 62.11

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Solution

The fourth proportional to 177.65, 266.48 and 62.11 is: 93.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.65 : 266.48 = 62.11 : x
  2. Step 2: Convert to fraction form
    177.65/266.48 = 62.11/x
  3. Step 3: Cross multiply
    177.65x = 266.48 × 62.11
  4. Step 4: Simplify right side
    177.65x = 16,551.07
  5. Step 5: Solve for x
    x = 16,551.07/177.65
  6. Step 6: Final answer
    x = 93.17

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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.