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Finding the Fourth Proportional to 575.38, 862.95 and 164.51

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Solution

The fourth proportional to 575.38, 862.95 and 164.51 is: 246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.38 : 862.95 = 164.51 : x
  2. Step 2: Convert to fraction form
    575.38/862.95 = 164.51/x
  3. Step 3: Cross multiply
    575.38x = 862.95 × 164.51
  4. Step 4: Simplify right side
    575.38x = 141,963.90
  5. Step 5: Solve for x
    x = 141,963.90/575.38
  6. Step 6: Final answer
    x = 246.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.