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Finding the Fourth Proportional to 243.29, 335.71 and 145.01

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Solution

The fourth proportional to 243.29, 335.71 and 145.01 is: 200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.29 : 335.71 = 145.01 : x
  2. Step 2: Convert to fraction form
    243.29/335.71 = 145.01/x
  3. Step 3: Cross multiply
    243.29x = 335.71 × 145.01
  4. Step 4: Simplify right side
    243.29x = 48,681.31
  5. Step 5: Solve for x
    x = 48,681.31/243.29
  6. Step 6: Final answer
    x = 200.10

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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.