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Finding the Fourth Proportional to 557.78, 837.07 and 192.87

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Solution

The fourth proportional to 557.78, 837.07 and 192.87 is: 289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.78 : 837.07 = 192.87 : x
  2. Step 2: Convert to fraction form
    557.78/837.07 = 192.87/x
  3. Step 3: Cross multiply
    557.78x = 837.07 × 192.87
  4. Step 4: Simplify right side
    557.78x = 161,445.21
  5. Step 5: Solve for x
    x = 161,445.21/557.78
  6. Step 6: Final answer
    x = 289.45

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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.