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Finding the Fourth Proportional to 358.24, 537.32 and 114.77

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Solution

The fourth proportional to 358.24, 537.32 and 114.77 is: 172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.24 : 537.32 = 114.77 : x
  2. Step 2: Convert to fraction form
    358.24/537.32 = 114.77/x
  3. Step 3: Cross multiply
    358.24x = 537.32 × 114.77
  4. Step 4: Simplify right side
    358.24x = 61,668.22
  5. Step 5: Solve for x
    x = 61,668.22/358.24
  6. Step 6: Final answer
    x = 172.14

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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.