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Finding the Fourth Proportional to 515.01, 772.64 and 149.80

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Solution

The fourth proportional to 515.01, 772.64 and 149.80 is: 224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.01 : 772.64 = 149.80 : x
  2. Step 2: Convert to fraction form
    515.01/772.64 = 149.80/x
  3. Step 3: Cross multiply
    515.01x = 772.64 × 149.80
  4. Step 4: Simplify right side
    515.01x = 115,742.81
  5. Step 5: Solve for x
    x = 115,742.81/515.01
  6. Step 6: Final answer
    x = 224.74

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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.