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Finding the Fourth Proportional to 294.14, 405.88 and 176.09

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Solution

The fourth proportional to 294.14, 405.88 and 176.09 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.14 : 405.88 = 176.09 : x
  2. Step 2: Convert to fraction form
    294.14/405.88 = 176.09/x
  3. Step 3: Cross multiply
    294.14x = 405.88 × 176.09
  4. Step 4: Simplify right side
    294.14x = 71,470.89
  5. Step 5: Solve for x
    x = 71,470.89/294.14
  6. Step 6: Final answer
    x = 242.98

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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.