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Finding the Fourth Proportional to 464.93, 697.38 and 156.76

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Solution

The fourth proportional to 464.93, 697.38 and 156.76 is: 235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.93 : 697.38 = 156.76 : x
  2. Step 2: Convert to fraction form
    464.93/697.38 = 156.76/x
  3. Step 3: Cross multiply
    464.93x = 697.38 × 156.76
  4. Step 4: Simplify right side
    464.93x = 109,321.29
  5. Step 5: Solve for x
    x = 109,321.29/464.93
  6. Step 6: Final answer
    x = 235.13

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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.