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Finding the Fourth Proportional to 370.42, 555.63 and 178.18

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Solution

The fourth proportional to 370.42, 555.63 and 178.18 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 555.63 = 178.18 : x
  2. Step 2: Convert to fraction form
    370.42/555.63 = 178.18/x
  3. Step 3: Cross multiply
    370.42x = 555.63 × 178.18
  4. Step 4: Simplify right side
    370.42x = 99,002.15
  5. Step 5: Solve for x
    x = 99,002.15/370.42
  6. Step 6: Final answer
    x = 267.27

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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.