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Finding the Fourth Proportional to 464.07, 696.12 and 155.93

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Solution

The fourth proportional to 464.07, 696.12 and 155.93 is: 233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.07 : 696.12 = 155.93 : x
  2. Step 2: Convert to fraction form
    464.07/696.12 = 155.93/x
  3. Step 3: Cross multiply
    464.07x = 696.12 × 155.93
  4. Step 4: Simplify right side
    464.07x = 108,546.72
  5. Step 5: Solve for x
    x = 108,546.72/464.07
  6. Step 6: Final answer
    x = 233.90

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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.