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Finding the Fourth Proportional to 253.29, 349.61 and 214.77

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Solution

The fourth proportional to 253.29, 349.61 and 214.77 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.29 : 349.61 = 214.77 : x
  2. Step 2: Convert to fraction form
    253.29/349.61 = 214.77/x
  3. Step 3: Cross multiply
    253.29x = 349.61 × 214.77
  4. Step 4: Simplify right side
    253.29x = 75,085.74
  5. Step 5: Solve for x
    x = 75,085.74/253.29
  6. Step 6: Final answer
    x = 296.44

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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.