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Finding the Fourth Proportional to 466.02, 699.13 and 157.86

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Solution

The fourth proportional to 466.02, 699.13 and 157.86 is: 236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.02 : 699.13 = 157.86 : x
  2. Step 2: Convert to fraction form
    466.02/699.13 = 157.86/x
  3. Step 3: Cross multiply
    466.02x = 699.13 × 157.86
  4. Step 4: Simplify right side
    466.02x = 110,364.66
  5. Step 5: Solve for x
    x = 110,364.66/466.02
  6. Step 6: Final answer
    x = 236.82

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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.