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Finding the Fourth Proportional to 534.89, 802.05 and 188.24

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Solution

The fourth proportional to 534.89, 802.05 and 188.24 is: 282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.89 : 802.05 = 188.24 : x
  2. Step 2: Convert to fraction form
    534.89/802.05 = 188.24/x
  3. Step 3: Cross multiply
    534.89x = 802.05 × 188.24
  4. Step 4: Simplify right side
    534.89x = 150,977.89
  5. Step 5: Solve for x
    x = 150,977.89/534.89
  6. Step 6: Final answer
    x = 282.26

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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.