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Finding the Fourth Proportional to 557.64, 836.17 and 192.30

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Solution

The fourth proportional to 557.64, 836.17 and 192.30 is: 288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.64 : 836.17 = 192.30 : x
  2. Step 2: Convert to fraction form
    557.64/836.17 = 192.30/x
  3. Step 3: Cross multiply
    557.64x = 836.17 × 192.30
  4. Step 4: Simplify right side
    557.64x = 160,795.49
  5. Step 5: Solve for x
    x = 160,795.49/557.64
  6. Step 6: Final answer
    x = 288.35

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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.