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Finding the Fourth Proportional to 177.34, 266.09 and 74.67

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Solution

The fourth proportional to 177.34, 266.09 and 74.67 is: 112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.34 : 266.09 = 74.67 : x
  2. Step 2: Convert to fraction form
    177.34/266.09 = 74.67/x
  3. Step 3: Cross multiply
    177.34x = 266.09 × 74.67
  4. Step 4: Simplify right side
    177.34x = 19,869.07
  5. Step 5: Solve for x
    x = 19,869.07/177.34
  6. Step 6: Final answer
    x = 112.04

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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.