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Finding the Fourth Proportional to 557.88, 837.21 and 192.67

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Solution

The fourth proportional to 557.88, 837.21 and 192.67 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.88 : 837.21 = 192.67 : x
  2. Step 2: Convert to fraction form
    557.88/837.21 = 192.67/x
  3. Step 3: Cross multiply
    557.88x = 837.21 × 192.67
  4. Step 4: Simplify right side
    557.88x = 161,305.82
  5. Step 5: Solve for x
    x = 161,305.82/557.88
  6. Step 6: Final answer
    x = 289.14

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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.