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Finding the Fourth Proportional to 278.04, 383.70 and 160.01

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Solution

The fourth proportional to 278.04, 383.70 and 160.01 is: 220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 383.70 = 160.01 : x
  2. Step 2: Convert to fraction form
    278.04/383.70 = 160.01/x
  3. Step 3: Cross multiply
    278.04x = 383.70 × 160.01
  4. Step 4: Simplify right side
    278.04x = 61,397.22
  5. Step 5: Solve for x
    x = 61,397.22/278.04
  6. Step 6: Final answer
    x = 220.82

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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.