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Finding the Fourth Proportional to 243.19, 335.59 and 144.95

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Solution

The fourth proportional to 243.19, 335.59 and 144.95 is: 200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.19 : 335.59 = 144.95 : x
  2. Step 2: Convert to fraction form
    243.19/335.59 = 144.95/x
  3. Step 3: Cross multiply
    243.19x = 335.59 × 144.95
  4. Step 4: Simplify right side
    243.19x = 48,643.77
  5. Step 5: Solve for x
    x = 48,643.77/243.19
  6. Step 6: Final answer
    x = 200.02

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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.