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Finding the Fourth Proportional to 224.35, 309.74 and 145.70

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Solution

The fourth proportional to 224.35, 309.74 and 145.70 is: 201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.35 : 309.74 = 145.70 : x
  2. Step 2: Convert to fraction form
    224.35/309.74 = 145.70/x
  3. Step 3: Cross multiply
    224.35x = 309.74 × 145.70
  4. Step 4: Simplify right side
    224.35x = 45,129.12
  5. Step 5: Solve for x
    x = 45,129.12/224.35
  6. Step 6: Final answer
    x = 201.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.