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Finding the Fourth Proportional to 213.42, 320.16 and 76.47

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Solution

The fourth proportional to 213.42, 320.16 and 76.47 is: 114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 320.16 = 76.47 : x
  2. Step 2: Convert to fraction form
    213.42/320.16 = 76.47/x
  3. Step 3: Cross multiply
    213.42x = 320.16 × 76.47
  4. Step 4: Simplify right side
    213.42x = 24,482.64
  5. Step 5: Solve for x
    x = 24,482.64/213.42
  6. Step 6: Final answer
    x = 114.72

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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.