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Finding the Fourth Proportional to 455.64, 683.40 and 167.16

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Solution

The fourth proportional to 455.64, 683.40 and 167.16 is: 250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.64 : 683.40 = 167.16 : x
  2. Step 2: Convert to fraction form
    455.64/683.40 = 167.16/x
  3. Step 3: Cross multiply
    455.64x = 683.40 × 167.16
  4. Step 4: Simplify right side
    455.64x = 114,237.14
  5. Step 5: Solve for x
    x = 114,237.14/455.64
  6. Step 6: Final answer
    x = 250.72

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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.