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Finding the Fourth Proportional to 370.14, 555.21 and 113.64

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Solution

The fourth proportional to 370.14, 555.21 and 113.64 is: 170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.14 : 555.21 = 113.64 : x
  2. Step 2: Convert to fraction form
    370.14/555.21 = 113.64/x
  3. Step 3: Cross multiply
    370.14x = 555.21 × 113.64
  4. Step 4: Simplify right side
    370.14x = 63,094.06
  5. Step 5: Solve for x
    x = 63,094.06/370.14
  6. Step 6: Final answer
    x = 170.46

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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.