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Finding the Fourth Proportional to 211.00, 291.18 and 117.74

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Solution

The fourth proportional to 211.00, 291.18 and 117.74 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.00 : 291.18 = 117.74 : x
  2. Step 2: Convert to fraction form
    211.00/291.18 = 117.74/x
  3. Step 3: Cross multiply
    211.00x = 291.18 × 117.74
  4. Step 4: Simplify right side
    211.00x = 34,283.61
  5. Step 5: Solve for x
    x = 34,283.61/211.00
  6. Step 6: Final answer
    x = 162.48

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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.