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Finding the Fourth Proportional to 466, 699.04 and 157.84

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Solution

The fourth proportional to 466, 699.04 and 157.84 is: 236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 699.04 = 157.84 : x
  2. Step 2: Convert to fraction form
    466/699.04 = 157.84/x
  3. Step 3: Cross multiply
    466x = 699.04 × 157.84
  4. Step 4: Simplify right side
    466x = 110,336.47
  5. Step 5: Solve for x
    x = 110,336.47/466
  6. Step 6: Final answer
    x = 236.77

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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.