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Finding the Fourth Proportional to 145.22, 199.82 and 134.03

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Solution

The fourth proportional to 145.22, 199.82 and 134.03 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.22 : 199.82 = 134.03 : x
  2. Step 2: Convert to fraction form
    145.22/199.82 = 134.03/x
  3. Step 3: Cross multiply
    145.22x = 199.82 × 134.03
  4. Step 4: Simplify right side
    145.22x = 26,782.71
  5. Step 5: Solve for x
    x = 26,782.71/145.22
  6. Step 6: Final answer
    x = 184.43

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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.