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Finding the Fourth Proportional to 358.89, 538.44 and 176.34

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Solution

The fourth proportional to 358.89, 538.44 and 176.34 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.89 : 538.44 = 176.34 : x
  2. Step 2: Convert to fraction form
    358.89/538.44 = 176.34/x
  3. Step 3: Cross multiply
    358.89x = 538.44 × 176.34
  4. Step 4: Simplify right side
    358.89x = 94,948.51
  5. Step 5: Solve for x
    x = 94,948.51/358.89
  6. Step 6: Final answer
    x = 264.56

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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.