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Finding the Fourth Proportional to 359.25, 538.14 and 176.07

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Solution

The fourth proportional to 359.25, 538.14 and 176.07 is: 263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.25 : 538.14 = 176.07 : x
  2. Step 2: Convert to fraction form
    359.25/538.14 = 176.07/x
  3. Step 3: Cross multiply
    359.25x = 538.14 × 176.07
  4. Step 4: Simplify right side
    359.25x = 94,750.31
  5. Step 5: Solve for x
    x = 94,750.31/359.25
  6. Step 6: Final answer
    x = 263.74

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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.