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Finding the Fourth Proportional to 213.40, 319.56 and 117.01

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Solution

The fourth proportional to 213.40, 319.56 and 117.01 is: 175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.40 : 319.56 = 117.01 : x
  2. Step 2: Convert to fraction form
    213.40/319.56 = 117.01/x
  3. Step 3: Cross multiply
    213.40x = 319.56 × 117.01
  4. Step 4: Simplify right side
    213.40x = 37,391.72
  5. Step 5: Solve for x
    x = 37,391.72/213.40
  6. Step 6: Final answer
    x = 175.22

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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.