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Finding the Fourth Proportional to 176.42, 242.78 and 143.76

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Solution

The fourth proportional to 176.42, 242.78 and 143.76 is: 197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.42 : 242.78 = 143.76 : x
  2. Step 2: Convert to fraction form
    176.42/242.78 = 143.76/x
  3. Step 3: Cross multiply
    176.42x = 242.78 × 143.76
  4. Step 4: Simplify right side
    176.42x = 34,902.05
  5. Step 5: Solve for x
    x = 34,902.05/176.42
  6. Step 6: Final answer
    x = 197.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.