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Finding the Fourth Proportional to 243.21, 335.68 and 145.02

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Solution

The fourth proportional to 243.21, 335.68 and 145.02 is: 200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.21 : 335.68 = 145.02 : x
  2. Step 2: Convert to fraction form
    243.21/335.68 = 145.02/x
  3. Step 3: Cross multiply
    243.21x = 335.68 × 145.02
  4. Step 4: Simplify right side
    243.21x = 48,681.21
  5. Step 5: Solve for x
    x = 48,681.21/243.21
  6. Step 6: Final answer
    x = 200.16

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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.