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Finding the Fourth Proportional to 534.80, 802.25 and 188.09

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Solution

The fourth proportional to 534.80, 802.25 and 188.09 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.80 : 802.25 = 188.09 : x
  2. Step 2: Convert to fraction form
    534.80/802.25 = 188.09/x
  3. Step 3: Cross multiply
    534.80x = 802.25 × 188.09
  4. Step 4: Simplify right side
    534.80x = 150,895.20
  5. Step 5: Solve for x
    x = 150,895.20/534.80
  6. Step 6: Final answer
    x = 282.15

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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.