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Finding the Fourth Proportional to 245.78, 337.66 and 219.90

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Solution

The fourth proportional to 245.78, 337.66 and 219.90 is: 302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.78 : 337.66 = 219.90 : x
  2. Step 2: Convert to fraction form
    245.78/337.66 = 219.90/x
  3. Step 3: Cross multiply
    245.78x = 337.66 × 219.90
  4. Step 4: Simplify right side
    245.78x = 74,250.27
  5. Step 5: Solve for x
    x = 74,250.27/245.78
  6. Step 6: Final answer
    x = 302.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.