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Finding the Fourth Proportional to 211.49, 291.64 and 159.16

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Solution

The fourth proportional to 211.49, 291.64 and 159.16 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.49 : 291.64 = 159.16 : x
  2. Step 2: Convert to fraction form
    211.49/291.64 = 159.16/x
  3. Step 3: Cross multiply
    211.49x = 291.64 × 159.16
  4. Step 4: Simplify right side
    211.49x = 46,416.26
  5. Step 5: Solve for x
    x = 46,416.26/211.49
  6. Step 6: Final answer
    x = 219.48

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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.