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Finding the Fourth Proportional to 557.51, 836.24 and 192.20

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Solution

The fourth proportional to 557.51, 836.24 and 192.20 is: 288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.51 : 836.24 = 192.20 : x
  2. Step 2: Convert to fraction form
    557.51/836.24 = 192.20/x
  3. Step 3: Cross multiply
    557.51x = 836.24 × 192.20
  4. Step 4: Simplify right side
    557.51x = 160,720.19
  5. Step 5: Solve for x
    x = 160,720.19/557.51
  6. Step 6: Final answer
    x = 288.28

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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.