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Finding the Fourth Proportional to 184.74, 278.22 and 156.05

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Solution

The fourth proportional to 184.74, 278.22 and 156.05 is: 235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 278.22 = 156.05 : x
  2. Step 2: Convert to fraction form
    184.74/278.22 = 156.05/x
  3. Step 3: Cross multiply
    184.74x = 278.22 × 156.05
  4. Step 4: Simplify right side
    184.74x = 43,416.23
  5. Step 5: Solve for x
    x = 43,416.23/184.74
  6. Step 6: Final answer
    x = 235.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.