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Finding the Fourth Proportional to 229.63, 317.15 and 151.87

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Solution

The fourth proportional to 229.63, 317.15 and 151.87 is: 209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.63 : 317.15 = 151.87 : x
  2. Step 2: Convert to fraction form
    229.63/317.15 = 151.87/x
  3. Step 3: Cross multiply
    229.63x = 317.15 × 151.87
  4. Step 4: Simplify right side
    229.63x = 48,164.36
  5. Step 5: Solve for x
    x = 48,164.36/229.63
  6. Step 6: Final answer
    x = 209.75

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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.