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Finding the Fourth Proportional to 637.54, 956.13 and 192.79

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Solution

The fourth proportional to 637.54, 956.13 and 192.79 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.54 : 956.13 = 192.79 : x
  2. Step 2: Convert to fraction form
    637.54/956.13 = 192.79/x
  3. Step 3: Cross multiply
    637.54x = 956.13 × 192.79
  4. Step 4: Simplify right side
    637.54x = 184,332.30
  5. Step 5: Solve for x
    x = 184,332.30/637.54
  6. Step 6: Final answer
    x = 289.13

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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.