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Finding the Fourth Proportional to 253.48, 349.50 and 221.08

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Solution

The fourth proportional to 253.48, 349.50 and 221.08 is: 304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.48 : 349.50 = 221.08 : x
  2. Step 2: Convert to fraction form
    253.48/349.50 = 221.08/x
  3. Step 3: Cross multiply
    253.48x = 349.50 × 221.08
  4. Step 4: Simplify right side
    253.48x = 77,267.46
  5. Step 5: Solve for x
    x = 77,267.46/253.48
  6. Step 6: Final answer
    x = 304.83

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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.