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Finding the Fourth Proportional to 200.91, 301.14 and 152.16

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Solution

The fourth proportional to 200.91, 301.14 and 152.16 is: 228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.91 : 301.14 = 152.16 : x
  2. Step 2: Convert to fraction form
    200.91/301.14 = 152.16/x
  3. Step 3: Cross multiply
    200.91x = 301.14 × 152.16
  4. Step 4: Simplify right side
    200.91x = 45,821.46
  5. Step 5: Solve for x
    x = 45,821.46/200.91
  6. Step 6: Final answer
    x = 228.07

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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.