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Finding the Fourth Proportional to 230.40, 345.64 and 84.16

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Solution

The fourth proportional to 230.40, 345.64 and 84.16 is: 126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.40 : 345.64 = 84.16 : x
  2. Step 2: Convert to fraction form
    230.40/345.64 = 84.16/x
  3. Step 3: Cross multiply
    230.40x = 345.64 × 84.16
  4. Step 4: Simplify right side
    230.40x = 29,089.06
  5. Step 5: Solve for x
    x = 29,089.06/230.40
  6. Step 6: Final answer
    x = 126.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.