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Finding the Fourth Proportional to 230.07, 317.52 and 142.86

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Solution

The fourth proportional to 230.07, 317.52 and 142.86 is: 197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.07 : 317.52 = 142.86 : x
  2. Step 2: Convert to fraction form
    230.07/317.52 = 142.86/x
  3. Step 3: Cross multiply
    230.07x = 317.52 × 142.86
  4. Step 4: Simplify right side
    230.07x = 45,360.91
  5. Step 5: Solve for x
    x = 45,360.91/230.07
  6. Step 6: Final answer
    x = 197.16

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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.