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Finding the Fourth Proportional to 278.03, 383.74 and 160.02

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Solution

The fourth proportional to 278.03, 383.74 and 160.02 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.03 : 383.74 = 160.02 : x
  2. Step 2: Convert to fraction form
    278.03/383.74 = 160.02/x
  3. Step 3: Cross multiply
    278.03x = 383.74 × 160.02
  4. Step 4: Simplify right side
    278.03x = 61,406.07
  5. Step 5: Solve for x
    x = 61,406.07/278.03
  6. Step 6: Final answer
    x = 220.86

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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.