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Finding the Fourth Proportional to 534.12, 800.86 and 192.20

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Solution

The fourth proportional to 534.12, 800.86 and 192.20 is: 288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 800.86 = 192.20 : x
  2. Step 2: Convert to fraction form
    534.12/800.86 = 192.20/x
  3. Step 3: Cross multiply
    534.12x = 800.86 × 192.20
  4. Step 4: Simplify right side
    534.12x = 153,925.29
  5. Step 5: Solve for x
    x = 153,925.29/534.12
  6. Step 6: Final answer
    x = 288.18

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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.