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Finding the Fourth Proportional to 465.51, 697.92 and 157.20

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Solution

The fourth proportional to 465.51, 697.92 and 157.20 is: 235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.51 : 697.92 = 157.20 : x
  2. Step 2: Convert to fraction form
    465.51/697.92 = 157.20/x
  3. Step 3: Cross multiply
    465.51x = 697.92 × 157.20
  4. Step 4: Simplify right side
    465.51x = 109,713.02
  5. Step 5: Solve for x
    x = 109,713.02/465.51
  6. Step 6: Final answer
    x = 235.68

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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.