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Finding the Fourth Proportional to 369.98, 554.76 and 153.30

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Solution

The fourth proportional to 369.98, 554.76 and 153.30 is: 229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.98 : 554.76 = 153.30 : x
  2. Step 2: Convert to fraction form
    369.98/554.76 = 153.30/x
  3. Step 3: Cross multiply
    369.98x = 554.76 × 153.30
  4. Step 4: Simplify right side
    369.98x = 85,044.71
  5. Step 5: Solve for x
    x = 85,044.71/369.98
  6. Step 6: Final answer
    x = 229.86

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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.