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Finding the Fourth Proportional to 224.24, 309.51 and 145.64

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Solution

The fourth proportional to 224.24, 309.51 and 145.64 is: 201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.24 : 309.51 = 145.64 : x
  2. Step 2: Convert to fraction form
    224.24/309.51 = 145.64/x
  3. Step 3: Cross multiply
    224.24x = 309.51 × 145.64
  4. Step 4: Simplify right side
    224.24x = 45,075.49
  5. Step 5: Solve for x
    x = 45,075.49/224.24
  6. Step 6: Final answer
    x = 201.02

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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.