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Finding the Fourth Proportional to 281.04, 387.57 and 176.09

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Solution

The fourth proportional to 281.04, 387.57 and 176.09 is: 242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.04 : 387.57 = 176.09 : x
  2. Step 2: Convert to fraction form
    281.04/387.57 = 176.09/x
  3. Step 3: Cross multiply
    281.04x = 387.57 × 176.09
  4. Step 4: Simplify right side
    281.04x = 68,248.17
  5. Step 5: Solve for x
    x = 68,248.17/281.04
  6. Step 6: Final answer
    x = 242.84

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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.