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Finding the Fourth Proportional to 534.84, 802.06 and 164.54

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Solution

The fourth proportional to 534.84, 802.06 and 164.54 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.84 : 802.06 = 164.54 : x
  2. Step 2: Convert to fraction form
    534.84/802.06 = 164.54/x
  3. Step 3: Cross multiply
    534.84x = 802.06 × 164.54
  4. Step 4: Simplify right side
    534.84x = 131,970.95
  5. Step 5: Solve for x
    x = 131,970.95/534.84
  6. Step 6: Final answer
    x = 246.75

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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.