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Finding the Fourth Proportional to 213.14, 320.08 and 117.02

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Solution

The fourth proportional to 213.14, 320.08 and 117.02 is: 175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 320.08 = 117.02 : x
  2. Step 2: Convert to fraction form
    213.14/320.08 = 117.02/x
  3. Step 3: Cross multiply
    213.14x = 320.08 × 117.02
  4. Step 4: Simplify right side
    213.14x = 37,455.76
  5. Step 5: Solve for x
    x = 37,455.76/213.14
  6. Step 6: Final answer
    x = 175.73

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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.