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Finding the Fourth Proportional to 528.81, 793.25 and 182.16

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Solution

The fourth proportional to 528.81, 793.25 and 182.16 is: 273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.81 : 793.25 = 182.16 : x
  2. Step 2: Convert to fraction form
    528.81/793.25 = 182.16/x
  3. Step 3: Cross multiply
    528.81x = 793.25 × 182.16
  4. Step 4: Simplify right side
    528.81x = 144,497.51
  5. Step 5: Solve for x
    x = 144,497.51/528.81
  6. Step 6: Final answer
    x = 273.25

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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.