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Finding the Fourth Proportional to 145.95, 217.32 and 133.70

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Solution

The fourth proportional to 145.95, 217.32 and 133.70 is: 199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.95 : 217.32 = 133.70 : x
  2. Step 2: Convert to fraction form
    145.95/217.32 = 133.70/x
  3. Step 3: Cross multiply
    145.95x = 217.32 × 133.70
  4. Step 4: Simplify right side
    145.95x = 29,054.10
  5. Step 5: Solve for x
    x = 29,054.10/145.95
  6. Step 6: Final answer
    x = 199.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.