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Finding the Fourth Proportional to 557.37, 836.16 and 192.15

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Solution

The fourth proportional to 557.37, 836.16 and 192.15 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.37 : 836.16 = 192.15 : x
  2. Step 2: Convert to fraction form
    557.37/836.16 = 192.15/x
  3. Step 3: Cross multiply
    557.37x = 836.16 × 192.15
  4. Step 4: Simplify right side
    557.37x = 160,668.14
  5. Step 5: Solve for x
    x = 160,668.14/557.37
  6. Step 6: Final answer
    x = 288.26

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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.