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Finding the Fourth Proportional to 307.72, 424.48 and 197.08

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Solution

The fourth proportional to 307.72, 424.48 and 197.08 is: 271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 424.48 = 197.08 : x
  2. Step 2: Convert to fraction form
    307.72/424.48 = 197.08/x
  3. Step 3: Cross multiply
    307.72x = 424.48 × 197.08
  4. Step 4: Simplify right side
    307.72x = 83,656.52
  5. Step 5: Solve for x
    x = 83,656.52/307.72
  6. Step 6: Final answer
    x = 271.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.