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Finding the Fourth Proportional to 294.72, 405.86 and 229.11

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Solution

The fourth proportional to 294.72, 405.86 and 229.11 is: 315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.72 : 405.86 = 229.11 : x
  2. Step 2: Convert to fraction form
    294.72/405.86 = 229.11/x
  3. Step 3: Cross multiply
    294.72x = 405.86 × 229.11
  4. Step 4: Simplify right side
    294.72x = 92,985.44
  5. Step 5: Solve for x
    x = 92,985.44/294.72
  6. Step 6: Final answer
    x = 315.50

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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.