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Finding the Fourth Proportional to 278.00, 383.63 and 153.66

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Solution

The fourth proportional to 278.00, 383.63 and 153.66 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.00 : 383.63 = 153.66 : x
  2. Step 2: Convert to fraction form
    278.00/383.63 = 153.66/x
  3. Step 3: Cross multiply
    278.00x = 383.63 × 153.66
  4. Step 4: Simplify right side
    278.00x = 58,948.97
  5. Step 5: Solve for x
    x = 58,948.97/278.00
  6. Step 6: Final answer
    x = 212.05

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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.