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Finding the Fourth Proportional to 184.17, 254.39 and 151.07

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Solution

The fourth proportional to 184.17, 254.39 and 151.07 is: 208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.17 : 254.39 = 151.07 : x
  2. Step 2: Convert to fraction form
    184.17/254.39 = 151.07/x
  3. Step 3: Cross multiply
    184.17x = 254.39 × 151.07
  4. Step 4: Simplify right side
    184.17x = 38,428.67
  5. Step 5: Solve for x
    x = 38,428.67/184.17
  6. Step 6: Final answer
    x = 208.65

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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.