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Finding the Fourth Proportional to 211.60, 291.78 and 146.14

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Solution

The fourth proportional to 211.60, 291.78 and 146.14 is: 201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.60 : 291.78 = 146.14 : x
  2. Step 2: Convert to fraction form
    211.60/291.78 = 146.14/x
  3. Step 3: Cross multiply
    211.60x = 291.78 × 146.14
  4. Step 4: Simplify right side
    211.60x = 42,640.73
  5. Step 5: Solve for x
    x = 42,640.73/211.60
  6. Step 6: Final answer
    x = 201.52

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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.