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Finding the Fourth Proportional to 370.84, 556.40 and 178.33

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Solution

The fourth proportional to 370.84, 556.40 and 178.33 is: 267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.84 : 556.40 = 178.33 : x
  2. Step 2: Convert to fraction form
    370.84/556.40 = 178.33/x
  3. Step 3: Cross multiply
    370.84x = 556.40 × 178.33
  4. Step 4: Simplify right side
    370.84x = 99,222.81
  5. Step 5: Solve for x
    x = 99,222.81/370.84
  6. Step 6: Final answer
    x = 267.56

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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.