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Finding the Fourth Proportional to 184.47, 277.97 and 152.69

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Solution

The fourth proportional to 184.47, 277.97 and 152.69 is: 230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.47 : 277.97 = 152.69 : x
  2. Step 2: Convert to fraction form
    184.47/277.97 = 152.69/x
  3. Step 3: Cross multiply
    184.47x = 277.97 × 152.69
  4. Step 4: Simplify right side
    184.47x = 42,441.85
  5. Step 5: Solve for x
    x = 42,441.85/184.47
  6. Step 6: Final answer
    x = 230.07

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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.