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Finding the Fourth Proportional to 295.15, 406.95 and 229.54

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Solution

The fourth proportional to 295.15, 406.95 and 229.54 is: 316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.15 : 406.95 = 229.54 : x
  2. Step 2: Convert to fraction form
    295.15/406.95 = 229.54/x
  3. Step 3: Cross multiply
    295.15x = 406.95 × 229.54
  4. Step 4: Simplify right side
    295.15x = 93,411.30
  5. Step 5: Solve for x
    x = 93,411.30/295.15
  6. Step 6: Final answer
    x = 316.49

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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.