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Finding the Fourth Proportional to 465.59, 698.16 and 157.47

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Solution

The fourth proportional to 465.59, 698.16 and 157.47 is: 236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.59 : 698.16 = 157.47 : x
  2. Step 2: Convert to fraction form
    465.59/698.16 = 157.47/x
  3. Step 3: Cross multiply
    465.59x = 698.16 × 157.47
  4. Step 4: Simplify right side
    465.59x = 109,939.26
  5. Step 5: Solve for x
    x = 109,939.26/465.59
  6. Step 6: Final answer
    x = 236.13

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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.