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Finding the Fourth Proportional to 145.70, 200.78 and 136.43

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Solution

The fourth proportional to 145.70, 200.78 and 136.43 is: 188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.70 : 200.78 = 136.43 : x
  2. Step 2: Convert to fraction form
    145.70/200.78 = 136.43/x
  3. Step 3: Cross multiply
    145.70x = 200.78 × 136.43
  4. Step 4: Simplify right side
    145.70x = 27,392.42
  5. Step 5: Solve for x
    x = 27,392.42/145.70
  6. Step 6: Final answer
    x = 188.01

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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.