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Finding the Fourth Proportional to 575.34, 862.94 and 164.46

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Solution

The fourth proportional to 575.34, 862.94 and 164.46 is: 246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.34 : 862.94 = 164.46 : x
  2. Step 2: Convert to fraction form
    575.34/862.94 = 164.46/x
  3. Step 3: Cross multiply
    575.34x = 862.94 × 164.46
  4. Step 4: Simplify right side
    575.34x = 141,919.11
  5. Step 5: Solve for x
    x = 141,919.11/575.34
  6. Step 6: Final answer
    x = 246.67

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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.