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Finding the Fourth Proportional to 535.17, 802.71 and 150.42

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Solution

The fourth proportional to 535.17, 802.71 and 150.42 is: 225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.17 : 802.71 = 150.42 : x
  2. Step 2: Convert to fraction form
    535.17/802.71 = 150.42/x
  3. Step 3: Cross multiply
    535.17x = 802.71 × 150.42
  4. Step 4: Simplify right side
    535.17x = 120,743.64
  5. Step 5: Solve for x
    x = 120,743.64/535.17
  6. Step 6: Final answer
    x = 225.62

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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.