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Finding the Fourth Proportional to 465.14, 697.60 and 157.14

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Solution

The fourth proportional to 465.14, 697.60 and 157.14 is: 235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 697.60 = 157.14 : x
  2. Step 2: Convert to fraction form
    465.14/697.60 = 157.14/x
  3. Step 3: Cross multiply
    465.14x = 697.60 × 157.14
  4. Step 4: Simplify right side
    465.14x = 109,620.86
  5. Step 5: Solve for x
    x = 109,620.86/465.14
  6. Step 6: Final answer
    x = 235.67

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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.