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Finding the Fourth Proportional to 307.57, 424.65 and 197.10

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Solution

The fourth proportional to 307.57, 424.65 and 197.10 is: 272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.57 : 424.65 = 197.10 : x
  2. Step 2: Convert to fraction form
    307.57/424.65 = 197.10/x
  3. Step 3: Cross multiply
    307.57x = 424.65 × 197.10
  4. Step 4: Simplify right side
    307.57x = 83,696.39
  5. Step 5: Solve for x
    x = 83,696.39/307.57
  6. Step 6: Final answer
    x = 272.12

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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.