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Finding the Fourth Proportional to 460.14, 689.76 and 186.22

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Solution

The fourth proportional to 460.14, 689.76 and 186.22 is: 279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.14 : 689.76 = 186.22 : x
  2. Step 2: Convert to fraction form
    460.14/689.76 = 186.22/x
  3. Step 3: Cross multiply
    460.14x = 689.76 × 186.22
  4. Step 4: Simplify right side
    460.14x = 128,447.11
  5. Step 5: Solve for x
    x = 128,447.11/460.14
  6. Step 6: Final answer
    x = 279.15

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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.