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Finding the Fourth Proportional to 253.41, 349.70 and 160.13

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Solution

The fourth proportional to 253.41, 349.70 and 160.13 is: 220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.41 : 349.70 = 160.13 : x
  2. Step 2: Convert to fraction form
    253.41/349.70 = 160.13/x
  3. Step 3: Cross multiply
    253.41x = 349.70 × 160.13
  4. Step 4: Simplify right side
    253.41x = 55,994.91
  5. Step 5: Solve for x
    x = 55,994.91/253.41
  6. Step 6: Final answer
    x = 220.97

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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.