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Finding the Fourth Proportional to 370.76, 555.90 and 188.24

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Solution

The fourth proportional to 370.76, 555.90 and 188.24 is: 282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.76 : 555.90 = 188.24 : x
  2. Step 2: Convert to fraction form
    370.76/555.90 = 188.24/x
  3. Step 3: Cross multiply
    370.76x = 555.90 × 188.24
  4. Step 4: Simplify right side
    370.76x = 104,642.62
  5. Step 5: Solve for x
    x = 104,642.62/370.76
  6. Step 6: Final answer
    x = 282.24

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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.