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Finding the Fourth Proportional to 213.95, 295.29 and 125.46

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Solution

The fourth proportional to 213.95, 295.29 and 125.46 is: 173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.95 : 295.29 = 125.46 : x
  2. Step 2: Convert to fraction form
    213.95/295.29 = 125.46/x
  3. Step 3: Cross multiply
    213.95x = 295.29 × 125.46
  4. Step 4: Simplify right side
    213.95x = 37,047.08
  5. Step 5: Solve for x
    x = 37,047.08/213.95
  6. Step 6: Final answer
    x = 173.16

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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.