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Finding the Fourth Proportional to 239.50, 358.75 and 123.60

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Solution

The fourth proportional to 239.50, 358.75 and 123.60 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.50 : 358.75 = 123.60 : x
  2. Step 2: Convert to fraction form
    239.50/358.75 = 123.60/x
  3. Step 3: Cross multiply
    239.50x = 358.75 × 123.60
  4. Step 4: Simplify right side
    239.50x = 44,341.50
  5. Step 5: Solve for x
    x = 44,341.50/239.50
  6. Step 6: Final answer
    x = 185.14

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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.