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Finding the Fourth Proportional to 452.00, 677.53 and 177.98

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Solution

The fourth proportional to 452.00, 677.53 and 177.98 is: 266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.00 : 677.53 = 177.98 : x
  2. Step 2: Convert to fraction form
    452.00/677.53 = 177.98/x
  3. Step 3: Cross multiply
    452.00x = 677.53 × 177.98
  4. Step 4: Simplify right side
    452.00x = 120,582.96
  5. Step 5: Solve for x
    x = 120,582.96/452.00
  6. Step 6: Final answer
    x = 266.78

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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.