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Finding the Fourth Proportional to 145.81, 217.65 and 128.51

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Solution

The fourth proportional to 145.81, 217.65 and 128.51 is: 191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.81 : 217.65 = 128.51 : x
  2. Step 2: Convert to fraction form
    145.81/217.65 = 128.51/x
  3. Step 3: Cross multiply
    145.81x = 217.65 × 128.51
  4. Step 4: Simplify right side
    145.81x = 27,970.75
  5. Step 5: Solve for x
    x = 27,970.75/145.81
  6. Step 6: Final answer
    x = 191.83

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