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Finding the Fourth Proportional to 325.39, 488.06 and 133.01

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Solution

The fourth proportional to 325.39, 488.06 and 133.01 is: 199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.39 : 488.06 = 133.01 : x
  2. Step 2: Convert to fraction form
    325.39/488.06 = 133.01/x
  3. Step 3: Cross multiply
    325.39x = 488.06 × 133.01
  4. Step 4: Simplify right side
    325.39x = 64,916.86
  5. Step 5: Solve for x
    x = 64,916.86/325.39
  6. Step 6: Final answer
    x = 199.50

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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.