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Finding the Fourth Proportional to 200.70, 277.05 and 151.59

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Solution

The fourth proportional to 200.70, 277.05 and 151.59 is: 209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.70 : 277.05 = 151.59 : x
  2. Step 2: Convert to fraction form
    200.70/277.05 = 151.59/x
  3. Step 3: Cross multiply
    200.70x = 277.05 × 151.59
  4. Step 4: Simplify right side
    200.70x = 41,998.01
  5. Step 5: Solve for x
    x = 41,998.01/200.70
  6. Step 6: Final answer
    x = 209.26

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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.