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Finding the Fourth Proportional to 243.66, 364.62 and 240

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Solution

The fourth proportional to 243.66, 364.62 and 240 is: 359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.66 : 364.62 = 240 : x
  2. Step 2: Convert to fraction form
    243.66/364.62 = 240/x
  3. Step 3: Cross multiply
    243.66x = 364.62 × 240
  4. Step 4: Simplify right side
    243.66x = 87,508.80
  5. Step 5: Solve for x
    x = 87,508.80/243.66
  6. Step 6: Final answer
    x = 359.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.