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Finding the Fourth Proportional to 213.60, 320.40 and 117.60

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Solution

The fourth proportional to 213.60, 320.40 and 117.60 is: 176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.60 : 320.40 = 117.60 : x
  2. Step 2: Convert to fraction form
    213.60/320.40 = 117.60/x
  3. Step 3: Cross multiply
    213.60x = 320.40 × 117.60
  4. Step 4: Simplify right side
    213.60x = 37,679.04
  5. Step 5: Solve for x
    x = 37,679.04/213.60
  6. Step 6: Final answer
    x = 176.40

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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.