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Finding the Fourth Proportional to 464.95, 697.17 and 156.64

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Solution

The fourth proportional to 464.95, 697.17 and 156.64 is: 234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.95 : 697.17 = 156.64 : x
  2. Step 2: Convert to fraction form
    464.95/697.17 = 156.64/x
  3. Step 3: Cross multiply
    464.95x = 697.17 × 156.64
  4. Step 4: Simplify right side
    464.95x = 109,204.71
  5. Step 5: Solve for x
    x = 109,204.71/464.95
  6. Step 6: Final answer
    x = 234.87

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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.