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Finding the Fourth Proportional to 308.27, 462.05 and 123.00

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Solution

The fourth proportional to 308.27, 462.05 and 123.00 is: 184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.27 : 462.05 = 123.00 : x
  2. Step 2: Convert to fraction form
    308.27/462.05 = 123.00/x
  3. Step 3: Cross multiply
    308.27x = 462.05 × 123.00
  4. Step 4: Simplify right side
    308.27x = 56,829.22
  5. Step 5: Solve for x
    x = 56,829.22/308.27
  6. Step 6: Final answer
    x = 184.35

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