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Finding the Fourth Proportional to 243.98, 336.65 and 145.77

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Solution

The fourth proportional to 243.98, 336.65 and 145.77 is: 201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.98 : 336.65 = 145.77 : x
  2. Step 2: Convert to fraction form
    243.98/336.65 = 145.77/x
  3. Step 3: Cross multiply
    243.98x = 336.65 × 145.77
  4. Step 4: Simplify right side
    243.98x = 49,072.74
  5. Step 5: Solve for x
    x = 49,072.74/243.98
  6. Step 6: Final answer
    x = 201.14

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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.