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Finding the Fourth Proportional to 534.61, 802.05 and 188.02

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Solution

The fourth proportional to 534.61, 802.05 and 188.02 is: 282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.61 : 802.05 = 188.02 : x
  2. Step 2: Convert to fraction form
    534.61/802.05 = 188.02/x
  3. Step 3: Cross multiply
    534.61x = 802.05 × 188.02
  4. Step 4: Simplify right side
    534.61x = 150,801.44
  5. Step 5: Solve for x
    x = 150,801.44/534.61
  6. Step 6: Final answer
    x = 282.08

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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.