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Finding the Fourth Proportional to 464.33, 696.59 and 156.15

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Solution

The fourth proportional to 464.33, 696.59 and 156.15 is: 234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.33 : 696.59 = 156.15 : x
  2. Step 2: Convert to fraction form
    464.33/696.59 = 156.15/x
  3. Step 3: Cross multiply
    464.33x = 696.59 × 156.15
  4. Step 4: Simplify right side
    464.33x = 108,774.66
  5. Step 5: Solve for x
    x = 108,774.66/464.33
  6. Step 6: Final answer
    x = 234.26

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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.