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Finding the Fourth Proportional to 358.68, 538.08 and 153.25

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Solution

The fourth proportional to 358.68, 538.08 and 153.25 is: 229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.68 : 538.08 = 153.25 : x
  2. Step 2: Convert to fraction form
    358.68/538.08 = 153.25/x
  3. Step 3: Cross multiply
    358.68x = 538.08 × 153.25
  4. Step 4: Simplify right side
    358.68x = 82,460.76
  5. Step 5: Solve for x
    x = 82,460.76/358.68
  6. Step 6: Final answer
    x = 229.90

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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.