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Finding the Fourth Proportional to 358.59, 538 and 153.18

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Solution

The fourth proportional to 358.59, 538 and 153.18 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.59 : 538 = 153.18 : x
  2. Step 2: Convert to fraction form
    358.59/538 = 153.18/x
  3. Step 3: Cross multiply
    358.59x = 538 × 153.18
  4. Step 4: Simplify right side
    358.59x = 82,410.84
  5. Step 5: Solve for x
    x = 82,410.84/358.59
  6. Step 6: Final answer
    x = 229.82

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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.