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Finding the Fourth Proportional to 176.53, 263.56 and 159.25

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Solution

The fourth proportional to 176.53, 263.56 and 159.25 is: 237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.53 : 263.56 = 159.25 : x
  2. Step 2: Convert to fraction form
    176.53/263.56 = 159.25/x
  3. Step 3: Cross multiply
    176.53x = 263.56 × 159.25
  4. Step 4: Simplify right side
    176.53x = 41,971.13
  5. Step 5: Solve for x
    x = 41,971.13/176.53
  6. Step 6: Final answer
    x = 237.76

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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.