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Finding the Fourth Proportional to 534.66, 802.06 and 188.12

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Solution

The fourth proportional to 534.66, 802.06 and 188.12 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 802.06 = 188.12 : x
  2. Step 2: Convert to fraction form
    534.66/802.06 = 188.12/x
  3. Step 3: Cross multiply
    534.66x = 802.06 × 188.12
  4. Step 4: Simplify right side
    534.66x = 150,883.53
  5. Step 5: Solve for x
    x = 150,883.53/534.66
  6. Step 6: Final answer
    x = 282.20

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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.