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Finding the Fourth Proportional to 185.33, 278.32 and 153.33

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Solution

The fourth proportional to 185.33, 278.32 and 153.33 is: 230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.33 : 278.32 = 153.33 : x
  2. Step 2: Convert to fraction form
    185.33/278.32 = 153.33/x
  3. Step 3: Cross multiply
    185.33x = 278.32 × 153.33
  4. Step 4: Simplify right side
    185.33x = 42,674.81
  5. Step 5: Solve for x
    x = 42,674.81/185.33
  6. Step 6: Final answer
    x = 230.26

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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.