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Finding the Fourth Proportional to 465.47, 698.28 and 157.25

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Solution

The fourth proportional to 465.47, 698.28 and 157.25 is: 235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.47 : 698.28 = 157.25 : x
  2. Step 2: Convert to fraction form
    465.47/698.28 = 157.25/x
  3. Step 3: Cross multiply
    465.47x = 698.28 × 157.25
  4. Step 4: Simplify right side
    465.47x = 109,803.07
  5. Step 5: Solve for x
    x = 109,803.07/465.47
  6. Step 6: Final answer
    x = 235.90

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