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Finding the Fourth Proportional to 370.74, 556.17 and 175.65

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Solution

The fourth proportional to 370.74, 556.17 and 175.65 is: 263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.74 : 556.17 = 175.65 : x
  2. Step 2: Convert to fraction form
    370.74/556.17 = 175.65/x
  3. Step 3: Cross multiply
    370.74x = 556.17 × 175.65
  4. Step 4: Simplify right side
    370.74x = 97,691.26
  5. Step 5: Solve for x
    x = 97,691.26/370.74
  6. Step 6: Final answer
    x = 263.50

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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.