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Finding the Fourth Proportional to 217.84, 300.59 and 123.32

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Solution

The fourth proportional to 217.84, 300.59 and 123.32 is: 170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.84 : 300.59 = 123.32 : x
  2. Step 2: Convert to fraction form
    217.84/300.59 = 123.32/x
  3. Step 3: Cross multiply
    217.84x = 300.59 × 123.32
  4. Step 4: Simplify right side
    217.84x = 37,068.14
  5. Step 5: Solve for x
    x = 37,068.14/217.84
  6. Step 6: Final answer
    x = 170.16

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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.