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Finding the Fourth Proportional to 535, 802 and 192.92

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Solution

The fourth proportional to 535, 802 and 192.92 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 802 = 192.92 : x
  2. Step 2: Convert to fraction form
    535/802 = 192.92/x
  3. Step 3: Cross multiply
    535x = 802 × 192.92
  4. Step 4: Simplify right side
    535x = 154,721.84
  5. Step 5: Solve for x
    x = 154,721.84/535
  6. Step 6: Final answer
    x = 289.20

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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.