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Finding the Fourth Proportional to 145.23, 200.25 and 132.95

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Solution

The fourth proportional to 145.23, 200.25 and 132.95 is: 183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 200.25 = 132.95 : x
  2. Step 2: Convert to fraction form
    145.23/200.25 = 132.95/x
  3. Step 3: Cross multiply
    145.23x = 200.25 × 132.95
  4. Step 4: Simplify right side
    145.23x = 26,622.24
  5. Step 5: Solve for x
    x = 26,622.24/145.23
  6. Step 6: Final answer
    x = 183.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.