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Finding the Fourth Proportional to 278.02, 383.63 and 153.67

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Solution

The fourth proportional to 278.02, 383.63 and 153.67 is: 212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 383.63 = 153.67 : x
  2. Step 2: Convert to fraction form
    278.02/383.63 = 153.67/x
  3. Step 3: Cross multiply
    278.02x = 383.63 × 153.67
  4. Step 4: Simplify right side
    278.02x = 58,952.42
  5. Step 5: Solve for x
    x = 58,952.42/278.02
  6. Step 6: Final answer
    x = 212.04

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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.