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Finding the Fourth Proportional to 370.38, 555.84 and 178

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Solution

The fourth proportional to 370.38, 555.84 and 178 is: 267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.38 : 555.84 = 178 : x
  2. Step 2: Convert to fraction form
    370.38/555.84 = 178/x
  3. Step 3: Cross multiply
    370.38x = 555.84 × 178
  4. Step 4: Simplify right side
    370.38x = 98,939.52
  5. Step 5: Solve for x
    x = 98,939.52/370.38
  6. Step 6: Final answer
    x = 267.13

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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.