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Finding the Fourth Proportional to 370.54, 555.43 and 175.19

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Solution

The fourth proportional to 370.54, 555.43 and 175.19 is: 262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.54 : 555.43 = 175.19 : x
  2. Step 2: Convert to fraction form
    370.54/555.43 = 175.19/x
  3. Step 3: Cross multiply
    370.54x = 555.43 × 175.19
  4. Step 4: Simplify right side
    370.54x = 97,304.83
  5. Step 5: Solve for x
    x = 97,304.83/370.54
  6. Step 6: Final answer
    x = 262.61

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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.