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Finding the Fourth Proportional to 535.21, 802.81 and 188.46

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Solution

The fourth proportional to 535.21, 802.81 and 188.46 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.21 : 802.81 = 188.46 : x
  2. Step 2: Convert to fraction form
    535.21/802.81 = 188.46/x
  3. Step 3: Cross multiply
    535.21x = 802.81 × 188.46
  4. Step 4: Simplify right side
    535.21x = 151,292.62
  5. Step 5: Solve for x
    x = 151,292.62/535.21
  6. Step 6: Final answer
    x = 282.68

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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.