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Finding the Fourth Proportional to 213.71, 295.10 and 154.72

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Solution

The fourth proportional to 213.71, 295.10 and 154.72 is: 213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 295.10 = 154.72 : x
  2. Step 2: Convert to fraction form
    213.71/295.10 = 154.72/x
  3. Step 3: Cross multiply
    213.71x = 295.10 × 154.72
  4. Step 4: Simplify right side
    213.71x = 45,657.52
  5. Step 5: Solve for x
    x = 45,657.52/213.71
  6. Step 6: Final answer
    x = 213.64

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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.