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Finding the Fourth Proportional to 456, 683.84 and 147.77

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Solution

The fourth proportional to 456, 683.84 and 147.77 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 683.84 = 147.77 : x
  2. Step 2: Convert to fraction form
    456/683.84 = 147.77/x
  3. Step 3: Cross multiply
    456x = 683.84 × 147.77
  4. Step 4: Simplify right side
    456x = 101,051.04
  5. Step 5: Solve for x
    x = 101,051.04/456
  6. Step 6: Final answer
    x = 221.60

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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.