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Finding the Fourth Proportional to 211.24, 291.53 and 118

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Solution

The fourth proportional to 211.24, 291.53 and 118 is: 162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.24 : 291.53 = 118 : x
  2. Step 2: Convert to fraction form
    211.24/291.53 = 118/x
  3. Step 3: Cross multiply
    211.24x = 291.53 × 118
  4. Step 4: Simplify right side
    211.24x = 34,400.54
  5. Step 5: Solve for x
    x = 34,400.54/211.24
  6. Step 6: Final answer
    x = 162.85

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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.