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Finding the Fourth Proportional to 185.60, 278.40 and 155.23

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Solution

The fourth proportional to 185.60, 278.40 and 155.23 is: 232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.60 : 278.40 = 155.23 : x
  2. Step 2: Convert to fraction form
    185.60/278.40 = 155.23/x
  3. Step 3: Cross multiply
    185.60x = 278.40 × 155.23
  4. Step 4: Simplify right side
    185.60x = 43,214.64
  5. Step 5: Solve for x
    x = 43,214.64/185.60
  6. Step 6: Final answer
    x = 232.84

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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.