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Finding the Fourth Proportional to 211.45, 291.30 and 156.04

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Solution

The fourth proportional to 211.45, 291.30 and 156.04 is: 214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.45 : 291.30 = 156.04 : x
  2. Step 2: Convert to fraction form
    211.45/291.30 = 156.04/x
  3. Step 3: Cross multiply
    211.45x = 291.30 × 156.04
  4. Step 4: Simplify right side
    211.45x = 45,454.45
  5. Step 5: Solve for x
    x = 45,454.45/211.45
  6. Step 6: Final answer
    x = 214.97

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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.