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Finding the Fourth Proportional to 488.56, 732.90 and 164.02

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Solution

The fourth proportional to 488.56, 732.90 and 164.02 is: 246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.56 : 732.90 = 164.02 : x
  2. Step 2: Convert to fraction form
    488.56/732.90 = 164.02/x
  3. Step 3: Cross multiply
    488.56x = 732.90 × 164.02
  4. Step 4: Simplify right side
    488.56x = 120,210.26
  5. Step 5: Solve for x
    x = 120,210.26/488.56
  6. Step 6: Final answer
    x = 246.05

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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.