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Finding the Fourth Proportional to 211.05, 290.88 and 169.53

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Solution

The fourth proportional to 211.05, 290.88 and 169.53 is: 233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.05 : 290.88 = 169.53 : x
  2. Step 2: Convert to fraction form
    211.05/290.88 = 169.53/x
  3. Step 3: Cross multiply
    211.05x = 290.88 × 169.53
  4. Step 4: Simplify right side
    211.05x = 49,312.89
  5. Step 5: Solve for x
    x = 49,312.89/211.05
  6. Step 6: Final answer
    x = 233.65

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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.