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Finding the Fourth Proportional to 370.96, 556.78 and 188.48

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Solution

The fourth proportional to 370.96, 556.78 and 188.48 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.96 : 556.78 = 188.48 : x
  2. Step 2: Convert to fraction form
    370.96/556.78 = 188.48/x
  3. Step 3: Cross multiply
    370.96x = 556.78 × 188.48
  4. Step 4: Simplify right side
    370.96x = 104,941.89
  5. Step 5: Solve for x
    x = 104,941.89/370.96
  6. Step 6: Final answer
    x = 282.89

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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.