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Finding the Fourth Proportional to 230.04, 317.64 and 197.16

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Solution

The fourth proportional to 230.04, 317.64 and 197.16 is: 272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.04 : 317.64 = 197.16 : x
  2. Step 2: Convert to fraction form
    230.04/317.64 = 197.16/x
  3. Step 3: Cross multiply
    230.04x = 317.64 × 197.16
  4. Step 4: Simplify right side
    230.04x = 62,625.90
  5. Step 5: Solve for x
    x = 62,625.90/230.04
  6. Step 6: Final answer
    x = 272.24

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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.