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Finding the Fourth Proportional to 455.31, 682.74 and 147.08

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Solution

The fourth proportional to 455.31, 682.74 and 147.08 is: 220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.31 : 682.74 = 147.08 : x
  2. Step 2: Convert to fraction form
    455.31/682.74 = 147.08/x
  3. Step 3: Cross multiply
    455.31x = 682.74 × 147.08
  4. Step 4: Simplify right side
    455.31x = 100,419.11
  5. Step 5: Solve for x
    x = 100,419.11/455.31
  6. Step 6: Final answer
    x = 220.55

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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.