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Finding the Fourth Proportional to 358.14, 536.82 and 152.82

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Solution

The fourth proportional to 358.14, 536.82 and 152.82 is: 229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 536.82 = 152.82 : x
  2. Step 2: Convert to fraction form
    358.14/536.82 = 152.82/x
  3. Step 3: Cross multiply
    358.14x = 536.82 × 152.82
  4. Step 4: Simplify right side
    358.14x = 82,036.83
  5. Step 5: Solve for x
    x = 82,036.83/358.14
  6. Step 6: Final answer
    x = 229.06

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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.