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Finding the Fourth Proportional to 176.08, 243.04 and 143.28

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Solution

The fourth proportional to 176.08, 243.04 and 143.28 is: 197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.08 : 243.04 = 143.28 : x
  2. Step 2: Convert to fraction form
    176.08/243.04 = 143.28/x
  3. Step 3: Cross multiply
    176.08x = 243.04 × 143.28
  4. Step 4: Simplify right side
    176.08x = 34,822.77
  5. Step 5: Solve for x
    x = 34,822.77/176.08
  6. Step 6: Final answer
    x = 197.77

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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.