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Finding the Fourth Proportional to 464.29, 696.29 and 156.08

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Solution

The fourth proportional to 464.29, 696.29 and 156.08 is: 234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.29 : 696.29 = 156.08 : x
  2. Step 2: Convert to fraction form
    464.29/696.29 = 156.08/x
  3. Step 3: Cross multiply
    464.29x = 696.29 × 156.08
  4. Step 4: Simplify right side
    464.29x = 108,677.90
  5. Step 5: Solve for x
    x = 108,677.90/464.29
  6. Step 6: Final answer
    x = 234.07

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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.