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Finding the Fourth Proportional to 211.48, 316.86 and 160

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Solution

The fourth proportional to 211.48, 316.86 and 160 is: 239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.48 : 316.86 = 160 : x
  2. Step 2: Convert to fraction form
    211.48/316.86 = 160/x
  3. Step 3: Cross multiply
    211.48x = 316.86 × 160
  4. Step 4: Simplify right side
    211.48x = 50,697.60
  5. Step 5: Solve for x
    x = 50,697.60/211.48
  6. Step 6: Final answer
    x = 239.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.