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Finding the Fourth Proportional to 253.01, 349.04 and 159.59

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Solution

The fourth proportional to 253.01, 349.04 and 159.59 is: 220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.01 : 349.04 = 159.59 : x
  2. Step 2: Convert to fraction form
    253.01/349.04 = 159.59/x
  3. Step 3: Cross multiply
    253.01x = 349.04 × 159.59
  4. Step 4: Simplify right side
    253.01x = 55,700.75
  5. Step 5: Solve for x
    x = 55,700.75/253.01
  6. Step 6: Final answer
    x = 220.16

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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.