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Finding the Fourth Proportional to 372.02, 557.51 and 189.54

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Solution

The fourth proportional to 372.02, 557.51 and 189.54 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.02 : 557.51 = 189.54 : x
  2. Step 2: Convert to fraction form
    372.02/557.51 = 189.54/x
  3. Step 3: Cross multiply
    372.02x = 557.51 × 189.54
  4. Step 4: Simplify right side
    372.02x = 105,669.50
  5. Step 5: Solve for x
    x = 105,669.50/372.02
  6. Step 6: Final answer
    x = 284.05

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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.