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Finding the Fourth Proportional to 177.08, 244.23 and 110.69

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Solution

The fourth proportional to 177.08, 244.23 and 110.69 is: 152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 244.23 = 110.69 : x
  2. Step 2: Convert to fraction form
    177.08/244.23 = 110.69/x
  3. Step 3: Cross multiply
    177.08x = 244.23 × 110.69
  4. Step 4: Simplify right side
    177.08x = 27,033.10
  5. Step 5: Solve for x
    x = 27,033.10/177.08
  6. Step 6: Final answer
    x = 152.66

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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.