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Finding the Fourth Proportional to 176.88, 264.76 and 160.48

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Solution

The fourth proportional to 176.88, 264.76 and 160.48 is: 240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 264.76 = 160.48 : x
  2. Step 2: Convert to fraction form
    176.88/264.76 = 160.48/x
  3. Step 3: Cross multiply
    176.88x = 264.76 × 160.48
  4. Step 4: Simplify right side
    176.88x = 42,488.68
  5. Step 5: Solve for x
    x = 42,488.68/176.88
  6. Step 6: Final answer
    x = 240.21

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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.