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Finding the Fourth Proportional to 213.78, 320.64 and 160.08

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Solution

The fourth proportional to 213.78, 320.64 and 160.08 is: 240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.78 : 320.64 = 160.08 : x
  2. Step 2: Convert to fraction form
    213.78/320.64 = 160.08/x
  3. Step 3: Cross multiply
    213.78x = 320.64 × 160.08
  4. Step 4: Simplify right side
    213.78x = 51,328.05
  5. Step 5: Solve for x
    x = 51,328.05/213.78
  6. Step 6: Final answer
    x = 240.10

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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.