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Finding the Fourth Proportional to 237.16, 356.55 and 189.01

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Solution

The fourth proportional to 237.16, 356.55 and 189.01 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.16 : 356.55 = 189.01 : x
  2. Step 2: Convert to fraction form
    237.16/356.55 = 189.01/x
  3. Step 3: Cross multiply
    237.16x = 356.55 × 189.01
  4. Step 4: Simplify right side
    237.16x = 67,391.25
  5. Step 5: Solve for x
    x = 67,391.25/237.16
  6. Step 6: Final answer
    x = 284.16

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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.