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Finding the Fourth Proportional to 211.66, 291.78 and 146.32

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Solution

The fourth proportional to 211.66, 291.78 and 146.32 is: 201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.66 : 291.78 = 146.32 : x
  2. Step 2: Convert to fraction form
    211.66/291.78 = 146.32/x
  3. Step 3: Cross multiply
    211.66x = 291.78 × 146.32
  4. Step 4: Simplify right side
    211.66x = 42,693.25
  5. Step 5: Solve for x
    x = 42,693.25/211.66
  6. Step 6: Final answer
    x = 201.71

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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.