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Finding the Fourth Proportional to 642.72, 964.08 and 155.77

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Solution

The fourth proportional to 642.72, 964.08 and 155.77 is: 233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.72 : 964.08 = 155.77 : x
  2. Step 2: Convert to fraction form
    642.72/964.08 = 155.77/x
  3. Step 3: Cross multiply
    642.72x = 964.08 × 155.77
  4. Step 4: Simplify right side
    642.72x = 150,174.74
  5. Step 5: Solve for x
    x = 150,174.74/642.72
  6. Step 6: Final answer
    x = 233.66

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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.