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Finding the Fourth Proportional to 535.12, 802.56 and 170.02

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Solution

The fourth proportional to 535.12, 802.56 and 170.02 is: 254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.12 : 802.56 = 170.02 : x
  2. Step 2: Convert to fraction form
    535.12/802.56 = 170.02/x
  3. Step 3: Cross multiply
    535.12x = 802.56 × 170.02
  4. Step 4: Simplify right side
    535.12x = 136,451.25
  5. Step 5: Solve for x
    x = 136,451.25/535.12
  6. Step 6: Final answer
    x = 254.99

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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.