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Finding the Fourth Proportional to 253.46, 349.45 and 213.98

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Solution

The fourth proportional to 253.46, 349.45 and 213.98 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.46 : 349.45 = 213.98 : x
  2. Step 2: Convert to fraction form
    253.46/349.45 = 213.98/x
  3. Step 3: Cross multiply
    253.46x = 349.45 × 213.98
  4. Step 4: Simplify right side
    253.46x = 74,773.03
  5. Step 5: Solve for x
    x = 74,773.03/253.46
  6. Step 6: Final answer
    x = 295.01

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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.