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Finding the Fourth Proportional to 230.07, 317.10 and 197.28

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Solution

The fourth proportional to 230.07, 317.10 and 197.28 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.07 : 317.10 = 197.28 : x
  2. Step 2: Convert to fraction form
    230.07/317.10 = 197.28/x
  3. Step 3: Cross multiply
    230.07x = 317.10 × 197.28
  4. Step 4: Simplify right side
    230.07x = 62,557.49
  5. Step 5: Solve for x
    x = 62,557.49/230.07
  6. Step 6: Final answer
    x = 271.91

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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.