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Finding the Fourth Proportional to 333.57, 460.23 and 186.17

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Solution

The fourth proportional to 333.57, 460.23 and 186.17 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.57 : 460.23 = 186.17 : x
  2. Step 2: Convert to fraction form
    333.57/460.23 = 186.17/x
  3. Step 3: Cross multiply
    333.57x = 460.23 × 186.17
  4. Step 4: Simplify right side
    333.57x = 85,681.02
  5. Step 5: Solve for x
    x = 85,681.02/333.57
  6. Step 6: Final answer
    x = 256.86

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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.