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Finding the Fourth Proportional to 238.55, 358.00 and 122.99

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Solution

The fourth proportional to 238.55, 358.00 and 122.99 is: 184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.55 : 358.00 = 122.99 : x
  2. Step 2: Convert to fraction form
    238.55/358.00 = 122.99/x
  3. Step 3: Cross multiply
    238.55x = 358.00 × 122.99
  4. Step 4: Simplify right side
    238.55x = 44,031.01
  5. Step 5: Solve for x
    x = 44,031.01/238.55
  6. Step 6: Final answer
    x = 184.58

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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.