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Finding the Fourth Proportional to 184.77, 254.70 and 155.25

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Solution

The fourth proportional to 184.77, 254.70 and 155.25 is: 214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.77 : 254.70 = 155.25 : x
  2. Step 2: Convert to fraction form
    184.77/254.70 = 155.25/x
  3. Step 3: Cross multiply
    184.77x = 254.70 × 155.25
  4. Step 4: Simplify right side
    184.77x = 39,542.18
  5. Step 5: Solve for x
    x = 39,542.18/184.77
  6. Step 6: Final answer
    x = 214.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.