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Finding the Fourth Proportional to 200.70, 301.23 and 160.02

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Solution

The fourth proportional to 200.70, 301.23 and 160.02 is: 240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.70 : 301.23 = 160.02 : x
  2. Step 2: Convert to fraction form
    200.70/301.23 = 160.02/x
  3. Step 3: Cross multiply
    200.70x = 301.23 × 160.02
  4. Step 4: Simplify right side
    200.70x = 48,202.82
  5. Step 5: Solve for x
    x = 48,202.82/200.70
  6. Step 6: Final answer
    x = 240.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.