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Finding the Fourth Proportional to 243.47, 336.06 and 145.19

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Solution

The fourth proportional to 243.47, 336.06 and 145.19 is: 200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.47 : 336.06 = 145.19 : x
  2. Step 2: Convert to fraction form
    243.47/336.06 = 145.19/x
  3. Step 3: Cross multiply
    243.47x = 336.06 × 145.19
  4. Step 4: Simplify right side
    243.47x = 48,790.87
  5. Step 5: Solve for x
    x = 48,790.87/243.47
  6. Step 6: Final answer
    x = 200.40

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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.