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Finding the Fourth Proportional to 460.09, 689.95 and 186.10

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Solution

The fourth proportional to 460.09, 689.95 and 186.10 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.09 : 689.95 = 186.10 : x
  2. Step 2: Convert to fraction form
    460.09/689.95 = 186.10/x
  3. Step 3: Cross multiply
    460.09x = 689.95 × 186.10
  4. Step 4: Simplify right side
    460.09x = 128,399.70
  5. Step 5: Solve for x
    x = 128,399.70/460.09
  6. Step 6: Final answer
    x = 279.08

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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.