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Finding the Fourth Proportional to 176.16, 262.80 and 149.28

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Solution

The fourth proportional to 176.16, 262.80 and 149.28 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.16 : 262.80 = 149.28 : x
  2. Step 2: Convert to fraction form
    176.16/262.80 = 149.28/x
  3. Step 3: Cross multiply
    176.16x = 262.80 × 149.28
  4. Step 4: Simplify right side
    176.16x = 39,230.78
  5. Step 5: Solve for x
    x = 39,230.78/176.16
  6. Step 6: Final answer
    x = 222.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.