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Finding the Fourth Proportional to 465.22, 697.86 and 157.06

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Solution

The fourth proportional to 465.22, 697.86 and 157.06 is: 235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.22 : 697.86 = 157.06 : x
  2. Step 2: Convert to fraction form
    465.22/697.86 = 157.06/x
  3. Step 3: Cross multiply
    465.22x = 697.86 × 157.06
  4. Step 4: Simplify right side
    465.22x = 109,605.89
  5. Step 5: Solve for x
    x = 109,605.89/465.22
  6. Step 6: Final answer
    x = 235.60

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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.