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Finding the Fourth Proportional to 253.53, 349.86 and 143.02

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Solution

The fourth proportional to 253.53, 349.86 and 143.02 is: 197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.53 : 349.86 = 143.02 : x
  2. Step 2: Convert to fraction form
    253.53/349.86 = 143.02/x
  3. Step 3: Cross multiply
    253.53x = 349.86 × 143.02
  4. Step 4: Simplify right side
    253.53x = 50,034.51
  5. Step 5: Solve for x
    x = 50,034.51/253.53
  6. Step 6: Final answer
    x = 197.36

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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.