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Finding the Fourth Proportional to 145.49, 217.91 and 133.02

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Solution

The fourth proportional to 145.49, 217.91 and 133.02 is: 199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.49 : 217.91 = 133.02 : x
  2. Step 2: Convert to fraction form
    145.49/217.91 = 133.02/x
  3. Step 3: Cross multiply
    145.49x = 217.91 × 133.02
  4. Step 4: Simplify right side
    145.49x = 28,985.72
  5. Step 5: Solve for x
    x = 28,985.72/145.49
  6. Step 6: Final answer
    x = 199.24

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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.