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Finding the Fourth Proportional to 465.29, 697.68 and 157.07

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Solution

The fourth proportional to 465.29, 697.68 and 157.07 is: 235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.29 : 697.68 = 157.07 : x
  2. Step 2: Convert to fraction form
    465.29/697.68 = 157.07/x
  3. Step 3: Cross multiply
    465.29x = 697.68 × 157.07
  4. Step 4: Simplify right side
    465.29x = 109,584.60
  5. Step 5: Solve for x
    x = 109,584.60/465.29
  6. Step 6: Final answer
    x = 235.52

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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.