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Finding the Fourth Proportional to 211.04, 291.25 and 117.78

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Solution

The fourth proportional to 211.04, 291.25 and 117.78 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.04 : 291.25 = 117.78 : x
  2. Step 2: Convert to fraction form
    211.04/291.25 = 117.78/x
  3. Step 3: Cross multiply
    211.04x = 291.25 × 117.78
  4. Step 4: Simplify right side
    211.04x = 34,302.64
  5. Step 5: Solve for x
    x = 34,302.64/211.04
  6. Step 6: Final answer
    x = 162.54

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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.