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Finding the Fourth Proportional to 229.56, 316.58 and 177.02

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Solution

The fourth proportional to 229.56, 316.58 and 177.02 is: 244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 316.58 = 177.02 : x
  2. Step 2: Convert to fraction form
    229.56/316.58 = 177.02/x
  3. Step 3: Cross multiply
    229.56x = 316.58 × 177.02
  4. Step 4: Simplify right side
    229.56x = 56,040.75
  5. Step 5: Solve for x
    x = 56,040.75/229.56
  6. Step 6: Final answer
    x = 244.12

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Why These Related Problems?

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