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Finding the Fourth Proportional to 295.12, 440.13 and 252.06

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Solution

The fourth proportional to 295.12, 440.13 and 252.06 is: 375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.12 : 440.13 = 252.06 : x
  2. Step 2: Convert to fraction form
    295.12/440.13 = 252.06/x
  3. Step 3: Cross multiply
    295.12x = 440.13 × 252.06
  4. Step 4: Simplify right side
    295.12x = 110,939.17
  5. Step 5: Solve for x
    x = 110,939.17/295.12
  6. Step 6: Final answer
    x = 375.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.