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Finding the Fourth Proportional to 455.48, 683.16 and 166.88

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Solution

The fourth proportional to 455.48, 683.16 and 166.88 is: 250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.48 : 683.16 = 166.88 : x
  2. Step 2: Convert to fraction form
    455.48/683.16 = 166.88/x
  3. Step 3: Cross multiply
    455.48x = 683.16 × 166.88
  4. Step 4: Simplify right side
    455.48x = 114,005.74
  5. Step 5: Solve for x
    x = 114,005.74/455.48
  6. Step 6: Final answer
    x = 250.30

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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.