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Finding the Fourth Proportional to 535.35, 802.96 and 170.15

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Solution

The fourth proportional to 535.35, 802.96 and 170.15 is: 255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.35 : 802.96 = 170.15 : x
  2. Step 2: Convert to fraction form
    535.35/802.96 = 170.15/x
  3. Step 3: Cross multiply
    535.35x = 802.96 × 170.15
  4. Step 4: Simplify right side
    535.35x = 136,619.20
  5. Step 5: Solve for x
    x = 136,619.20/535.35
  6. Step 6: Final answer
    x = 255.20

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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.