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Finding the Fourth Proportional to 184.04, 277.14 and 133.04

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Solution

The fourth proportional to 184.04, 277.14 and 133.04 is: 200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.04 : 277.14 = 133.04 : x
  2. Step 2: Convert to fraction form
    184.04/277.14 = 133.04/x
  3. Step 3: Cross multiply
    184.04x = 277.14 × 133.04
  4. Step 4: Simplify right side
    184.04x = 36,870.71
  5. Step 5: Solve for x
    x = 36,870.71/184.04
  6. Step 6: Final answer
    x = 200.34

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Why These Related Problems?

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