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Finding the Fourth Proportional to 464.79, 697.17 and 156.66

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Solution

The fourth proportional to 464.79, 697.17 and 156.66 is: 234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.79 : 697.17 = 156.66 : x
  2. Step 2: Convert to fraction form
    464.79/697.17 = 156.66/x
  3. Step 3: Cross multiply
    464.79x = 697.17 × 156.66
  4. Step 4: Simplify right side
    464.79x = 109,218.65
  5. Step 5: Solve for x
    x = 109,218.65/464.79
  6. Step 6: Final answer
    x = 234.98

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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.