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Finding the Fourth Proportional to 465.42, 698.14 and 157.28

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Solution

The fourth proportional to 465.42, 698.14 and 157.28 is: 235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 698.14 = 157.28 : x
  2. Step 2: Convert to fraction form
    465.42/698.14 = 157.28/x
  3. Step 3: Cross multiply
    465.42x = 698.14 × 157.28
  4. Step 4: Simplify right side
    465.42x = 109,803.46
  5. Step 5: Solve for x
    x = 109,803.46/465.42
  6. Step 6: Final answer
    x = 235.92

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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.