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Finding the Fourth Proportional to 176.15, 243.03 and 113.98

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Solution

The fourth proportional to 176.15, 243.03 and 113.98 is: 157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.15 : 243.03 = 113.98 : x
  2. Step 2: Convert to fraction form
    176.15/243.03 = 113.98/x
  3. Step 3: Cross multiply
    176.15x = 243.03 × 113.98
  4. Step 4: Simplify right side
    176.15x = 27,698.77
  5. Step 5: Solve for x
    x = 27,698.77/176.15
  6. Step 6: Final answer
    x = 157.25

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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.