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Finding the Fourth Proportional to 575.07, 862.47 and 164.13

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Solution

The fourth proportional to 575.07, 862.47 and 164.13 is: 246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.07 : 862.47 = 164.13 : x
  2. Step 2: Convert to fraction form
    575.07/862.47 = 164.13/x
  3. Step 3: Cross multiply
    575.07x = 862.47 × 164.13
  4. Step 4: Simplify right side
    575.07x = 141,552.89
  5. Step 5: Solve for x
    x = 141,552.89/575.07
  6. Step 6: Final answer
    x = 246.15

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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.