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Finding the Fourth Proportional to 455.47, 683.54 and 177.86

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Solution

The fourth proportional to 455.47, 683.54 and 177.86 is: 266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.47 : 683.54 = 177.86 : x
  2. Step 2: Convert to fraction form
    455.47/683.54 = 177.86/x
  3. Step 3: Cross multiply
    455.47x = 683.54 × 177.86
  4. Step 4: Simplify right side
    455.47x = 121,575.24
  5. Step 5: Solve for x
    x = 121,575.24/455.47
  6. Step 6: Final answer
    x = 266.92

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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.