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Finding the Fourth Proportional to 465.66, 698.59 and 177.10

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Solution

The fourth proportional to 465.66, 698.59 and 177.10 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.66 : 698.59 = 177.10 : x
  2. Step 2: Convert to fraction form
    465.66/698.59 = 177.10/x
  3. Step 3: Cross multiply
    465.66x = 698.59 × 177.10
  4. Step 4: Simplify right side
    465.66x = 123,720.29
  5. Step 5: Solve for x
    x = 123,720.29/465.66
  6. Step 6: Final answer
    x = 265.69

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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.