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Finding the Fourth Proportional to 333.60, 460.35 and 186.22

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Solution

The fourth proportional to 333.60, 460.35 and 186.22 is: 256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.60 : 460.35 = 186.22 : x
  2. Step 2: Convert to fraction form
    333.60/460.35 = 186.22/x
  3. Step 3: Cross multiply
    333.60x = 460.35 × 186.22
  4. Step 4: Simplify right side
    333.60x = 85,726.95
  5. Step 5: Solve for x
    x = 85,726.95/333.60
  6. Step 6: Final answer
    x = 256.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.