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Finding the Fourth Proportional to 464.20, 696.33 and 156.08

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Solution

The fourth proportional to 464.20, 696.33 and 156.08 is: 234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 696.33 = 156.08 : x
  2. Step 2: Convert to fraction form
    464.20/696.33 = 156.08/x
  3. Step 3: Cross multiply
    464.20x = 696.33 × 156.08
  4. Step 4: Simplify right side
    464.20x = 108,684.93
  5. Step 5: Solve for x
    x = 108,684.93/464.20
  6. Step 6: Final answer
    x = 234.14

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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.