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Finding the Fourth Proportional to 307.98, 424.78 and 214.70

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Solution

The fourth proportional to 307.98, 424.78 and 214.70 is: 296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.98 : 424.78 = 214.70 : x
  2. Step 2: Convert to fraction form
    307.98/424.78 = 214.70/x
  3. Step 3: Cross multiply
    307.98x = 424.78 × 214.70
  4. Step 4: Simplify right side
    307.98x = 91,197.61
  5. Step 5: Solve for x
    x = 91,197.61/307.98
  6. Step 6: Final answer
    x = 296.12

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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.