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Finding the Fourth Proportional to 464.70, 697.06 and 156.55

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Solution

The fourth proportional to 464.70, 697.06 and 156.55 is: 234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.70 : 697.06 = 156.55 : x
  2. Step 2: Convert to fraction form
    464.70/697.06 = 156.55/x
  3. Step 3: Cross multiply
    464.70x = 697.06 × 156.55
  4. Step 4: Simplify right side
    464.70x = 109,124.74
  5. Step 5: Solve for x
    x = 109,124.74/464.70
  6. Step 6: Final answer
    x = 234.83

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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.