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Finding the Fourth Proportional to 325.61, 488.61 and 140.51

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Solution

The fourth proportional to 325.61, 488.61 and 140.51 is: 210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.61 : 488.61 = 140.51 : x
  2. Step 2: Convert to fraction form
    325.61/488.61 = 140.51/x
  3. Step 3: Cross multiply
    325.61x = 488.61 × 140.51
  4. Step 4: Simplify right side
    325.61x = 68,652.15
  5. Step 5: Solve for x
    x = 68,652.15/325.61
  6. Step 6: Final answer
    x = 210.84

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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.