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Finding the Fourth Proportional to 279.47, 384.74 and 242.48

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Solution

The fourth proportional to 279.47, 384.74 and 242.48 is: 333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.47 : 384.74 = 242.48 : x
  2. Step 2: Convert to fraction form
    279.47/384.74 = 242.48/x
  3. Step 3: Cross multiply
    279.47x = 384.74 × 242.48
  4. Step 4: Simplify right side
    279.47x = 93,291.76
  5. Step 5: Solve for x
    x = 93,291.76/279.47
  6. Step 6: Final answer
    x = 333.82

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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.