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Finding the Fourth Proportional to 211.43, 291.74 and 156.15

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Solution

The fourth proportional to 211.43, 291.74 and 156.15 is: 215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.43 : 291.74 = 156.15 : x
  2. Step 2: Convert to fraction form
    211.43/291.74 = 156.15/x
  3. Step 3: Cross multiply
    211.43x = 291.74 × 156.15
  4. Step 4: Simplify right side
    211.43x = 45,554.42
  5. Step 5: Solve for x
    x = 45,554.42/211.43
  6. Step 6: Final answer
    x = 215.46

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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.