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Finding the Fourth Proportional to 307.64, 424.47 and 197.13

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Solution

The fourth proportional to 307.64, 424.47 and 197.13 is: 272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.64 : 424.47 = 197.13 : x
  2. Step 2: Convert to fraction form
    307.64/424.47 = 197.13/x
  3. Step 3: Cross multiply
    307.64x = 424.47 × 197.13
  4. Step 4: Simplify right side
    307.64x = 83,675.77
  5. Step 5: Solve for x
    x = 83,675.77/307.64
  6. Step 6: Final answer
    x = 272.00

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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.