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Finding the Fourth Proportional to 282.30, 389.14 and 242.78

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Solution

The fourth proportional to 282.30, 389.14 and 242.78 is: 334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 389.14 = 242.78 : x
  2. Step 2: Convert to fraction form
    282.30/389.14 = 242.78/x
  3. Step 3: Cross multiply
    282.30x = 389.14 × 242.78
  4. Step 4: Simplify right side
    282.30x = 94,475.41
  5. Step 5: Solve for x
    x = 94,475.41/282.30
  6. Step 6: Final answer
    x = 334.66

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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.