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Finding the Fourth Proportional to 459.81, 689.75 and 135.16

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Solution

The fourth proportional to 459.81, 689.75 and 135.16 is: 202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.81 : 689.75 = 135.16 : x
  2. Step 2: Convert to fraction form
    459.81/689.75 = 135.16/x
  3. Step 3: Cross multiply
    459.81x = 689.75 × 135.16
  4. Step 4: Simplify right side
    459.81x = 93,226.61
  5. Step 5: Solve for x
    x = 93,226.61/459.81
  6. Step 6: Final answer
    x = 202.75

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