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Finding the Fourth Proportional to 211.04, 291.40 and 159.20

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Solution

The fourth proportional to 211.04, 291.40 and 159.20 is: 219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.04 : 291.40 = 159.20 : x
  2. Step 2: Convert to fraction form
    211.04/291.40 = 159.20/x
  3. Step 3: Cross multiply
    211.04x = 291.40 × 159.20
  4. Step 4: Simplify right side
    211.04x = 46,390.88
  5. Step 5: Solve for x
    x = 46,390.88/211.04
  6. Step 6: Final answer
    x = 219.82

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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.