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Finding the Fourth Proportional to 325.61, 488.02 and 152.05

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Solution

The fourth proportional to 325.61, 488.02 and 152.05 is: 227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.61 : 488.02 = 152.05 : x
  2. Step 2: Convert to fraction form
    325.61/488.02 = 152.05/x
  3. Step 3: Cross multiply
    325.61x = 488.02 × 152.05
  4. Step 4: Simplify right side
    325.61x = 74,203.44
  5. Step 5: Solve for x
    x = 74,203.44/325.61
  6. Step 6: Final answer
    x = 227.89

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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.