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Finding the Fourth Proportional to 466.14, 698.91 and 188.52

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Solution

The fourth proportional to 466.14, 698.91 and 188.52 is: 282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.14 : 698.91 = 188.52 : x
  2. Step 2: Convert to fraction form
    466.14/698.91 = 188.52/x
  3. Step 3: Cross multiply
    466.14x = 698.91 × 188.52
  4. Step 4: Simplify right side
    466.14x = 131,758.51
  5. Step 5: Solve for x
    x = 131,758.51/466.14
  6. Step 6: Final answer
    x = 282.66

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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.