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Finding the Fourth Proportional to 299.34, 448.62 and 145.06

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Solution

The fourth proportional to 299.34, 448.62 and 145.06 is: 217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 448.62 = 145.06 : x
  2. Step 2: Convert to fraction form
    299.34/448.62 = 145.06/x
  3. Step 3: Cross multiply
    299.34x = 448.62 × 145.06
  4. Step 4: Simplify right side
    299.34x = 65,077.38
  5. Step 5: Solve for x
    x = 65,077.38/299.34
  6. Step 6: Final answer
    x = 217.40

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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.