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Finding the Fourth Proportional to 369.14, 553.84 and 152.66

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Solution

The fourth proportional to 369.14, 553.84 and 152.66 is: 229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.14 : 553.84 = 152.66 : x
  2. Step 2: Convert to fraction form
    369.14/553.84 = 152.66/x
  3. Step 3: Cross multiply
    369.14x = 553.84 × 152.66
  4. Step 4: Simplify right side
    369.14x = 84,549.21
  5. Step 5: Solve for x
    x = 84,549.21/369.14
  6. Step 6: Final answer
    x = 229.04

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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.