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Finding the Fourth Proportional to 299.24, 448.74 and 145.06

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Solution

The fourth proportional to 299.24, 448.74 and 145.06 is: 217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 448.74 = 145.06 : x
  2. Step 2: Convert to fraction form
    299.24/448.74 = 145.06/x
  3. Step 3: Cross multiply
    299.24x = 448.74 × 145.06
  4. Step 4: Simplify right side
    299.24x = 65,094.22
  5. Step 5: Solve for x
    x = 65,094.22/299.24
  6. Step 6: Final answer
    x = 217.53

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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.