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Finding the Fourth Proportional to 460.06, 689.84 and 151.66

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Solution

The fourth proportional to 460.06, 689.84 and 151.66 is: 227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.06 : 689.84 = 151.66 : x
  2. Step 2: Convert to fraction form
    460.06/689.84 = 151.66/x
  3. Step 3: Cross multiply
    460.06x = 689.84 × 151.66
  4. Step 4: Simplify right side
    460.06x = 104,616.93
  5. Step 5: Solve for x
    x = 104,616.93/460.06
  6. Step 6: Final answer
    x = 227.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.