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Finding the Fourth Proportional to 400.77, 600.75 and 157.20

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Solution

The fourth proportional to 400.77, 600.75 and 157.20 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.77 : 600.75 = 157.20 : x
  2. Step 2: Convert to fraction form
    400.77/600.75 = 157.20/x
  3. Step 3: Cross multiply
    400.77x = 600.75 × 157.20
  4. Step 4: Simplify right side
    400.77x = 94,437.90
  5. Step 5: Solve for x
    x = 94,437.90/400.77
  6. Step 6: Final answer
    x = 235.64

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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.