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Finding the Fourth Proportional to 529.51, 793.96 and 164.20

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Solution

The fourth proportional to 529.51, 793.96 and 164.20 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.51 : 793.96 = 164.20 : x
  2. Step 2: Convert to fraction form
    529.51/793.96 = 164.20/x
  3. Step 3: Cross multiply
    529.51x = 793.96 × 164.20
  4. Step 4: Simplify right side
    529.51x = 130,368.23
  5. Step 5: Solve for x
    x = 130,368.23/529.51
  6. Step 6: Final answer
    x = 246.21

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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.