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Finding the Fourth Proportional to 369.42, 554.04 and 150.06

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Solution

The fourth proportional to 369.42, 554.04 and 150.06 is: 225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 554.04 = 150.06 : x
  2. Step 2: Convert to fraction form
    369.42/554.04 = 150.06/x
  3. Step 3: Cross multiply
    369.42x = 554.04 × 150.06
  4. Step 4: Simplify right side
    369.42x = 83,139.24
  5. Step 5: Solve for x
    x = 83,139.24/369.42
  6. Step 6: Final answer
    x = 225.05

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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.