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Finding the Fourth Proportional to 278.53, 419.23 and 210.40

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Solution

The fourth proportional to 278.53, 419.23 and 210.40 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.53 : 419.23 = 210.40 : x
  2. Step 2: Convert to fraction form
    278.53/419.23 = 210.40/x
  3. Step 3: Cross multiply
    278.53x = 419.23 × 210.40
  4. Step 4: Simplify right side
    278.53x = 88,205.99
  5. Step 5: Solve for x
    x = 88,205.99/278.53
  6. Step 6: Final answer
    x = 316.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.