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Finding the Fourth Proportional to 176.28, 264.42 and 48.04

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Solution

The fourth proportional to 176.28, 264.42 and 48.04 is: 72.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.28 : 264.42 = 48.04 : x
  2. Step 2: Convert to fraction form
    176.28/264.42 = 48.04/x
  3. Step 3: Cross multiply
    176.28x = 264.42 × 48.04
  4. Step 4: Simplify right side
    176.28x = 12,702.74
  5. Step 5: Solve for x
    x = 12,702.74/176.28
  6. Step 6: Final answer
    x = 72.06

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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.