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Finding the Fourth Proportional to 211.32, 291.40 and 145.84

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Solution

The fourth proportional to 211.32, 291.40 and 145.84 is: 201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.32 : 291.40 = 145.84 : x
  2. Step 2: Convert to fraction form
    211.32/291.40 = 145.84/x
  3. Step 3: Cross multiply
    211.32x = 291.40 × 145.84
  4. Step 4: Simplify right side
    211.32x = 42,497.78
  5. Step 5: Solve for x
    x = 42,497.78/211.32
  6. Step 6: Final answer
    x = 201.11

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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.