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Finding the Fourth Proportional to 240.02, 330.80 and 206.74

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Solution

The fourth proportional to 240.02, 330.80 and 206.74 is: 284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.02 : 330.80 = 206.74 : x
  2. Step 2: Convert to fraction form
    240.02/330.80 = 206.74/x
  3. Step 3: Cross multiply
    240.02x = 330.80 × 206.74
  4. Step 4: Simplify right side
    240.02x = 68,389.59
  5. Step 5: Solve for x
    x = 68,389.59/240.02
  6. Step 6: Final answer
    x = 284.93

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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.