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Finding the Fourth Proportional to 530, 794.96 and 164.80

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Solution

The fourth proportional to 530, 794.96 and 164.80 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    530 : 794.96 = 164.80 : x
  2. Step 2: Convert to fraction form
    530/794.96 = 164.80/x
  3. Step 3: Cross multiply
    530x = 794.96 × 164.80
  4. Step 4: Simplify right side
    530x = 131,009.41
  5. Step 5: Solve for x
    x = 131,009.41/530
  6. Step 6: Final answer
    x = 247.19

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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.