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Finding the Fourth Proportional to 176.90, 244.26 and 114.82

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Solution

The fourth proportional to 176.90, 244.26 and 114.82 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.90 : 244.26 = 114.82 : x
  2. Step 2: Convert to fraction form
    176.90/244.26 = 114.82/x
  3. Step 3: Cross multiply
    176.90x = 244.26 × 114.82
  4. Step 4: Simplify right side
    176.90x = 28,045.32
  5. Step 5: Solve for x
    x = 28,045.32/176.90
  6. Step 6: Final answer
    x = 158.54

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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.