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Finding the Fourth Proportional to 320.25, 442.01 and 187.53

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Solution

The fourth proportional to 320.25, 442.01 and 187.53 is: 258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 442.01 = 187.53 : x
  2. Step 2: Convert to fraction form
    320.25/442.01 = 187.53/x
  3. Step 3: Cross multiply
    320.25x = 442.01 × 187.53
  4. Step 4: Simplify right side
    320.25x = 82,890.60
  5. Step 5: Solve for x
    x = 82,890.60/320.25
  6. Step 6: Final answer
    x = 258.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.