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Finding the Fourth Proportional to 370.47, 555.64 and 136.16

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Solution

The fourth proportional to 370.47, 555.64 and 136.16 is: 204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.47 : 555.64 = 136.16 : x
  2. Step 2: Convert to fraction form
    370.47/555.64 = 136.16/x
  3. Step 3: Cross multiply
    370.47x = 555.64 × 136.16
  4. Step 4: Simplify right side
    370.47x = 75,656.45
  5. Step 5: Solve for x
    x = 75,656.45/370.47
  6. Step 6: Final answer
    x = 204.22

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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.