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Finding the Fourth Proportional to 176.85, 265.20 and 74.06

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Solution

The fourth proportional to 176.85, 265.20 and 74.06 is: 111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.85 : 265.20 = 74.06 : x
  2. Step 2: Convert to fraction form
    176.85/265.20 = 74.06/x
  3. Step 3: Cross multiply
    176.85x = 265.20 × 74.06
  4. Step 4: Simplify right side
    176.85x = 19,640.71
  5. Step 5: Solve for x
    x = 19,640.71/176.85
  6. Step 6: Final answer
    x = 111.06

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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.