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Finding the Fourth Proportional to 303.60, 418.98 and 187.20

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Solution

The fourth proportional to 303.60, 418.98 and 187.20 is: 258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.60 : 418.98 = 187.20 : x
  2. Step 2: Convert to fraction form
    303.60/418.98 = 187.20/x
  3. Step 3: Cross multiply
    303.60x = 418.98 × 187.20
  4. Step 4: Simplify right side
    303.60x = 78,433.06
  5. Step 5: Solve for x
    x = 78,433.06/303.60
  6. Step 6: Final answer
    x = 258.34

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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.