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Finding the Fourth Proportional to 153.65, 211.42 and 150.01

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Solution

The fourth proportional to 153.65, 211.42 and 150.01 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.65 : 211.42 = 150.01 : x
  2. Step 2: Convert to fraction form
    153.65/211.42 = 150.01/x
  3. Step 3: Cross multiply
    153.65x = 211.42 × 150.01
  4. Step 4: Simplify right side
    153.65x = 31,715.11
  5. Step 5: Solve for x
    x = 31,715.11/153.65
  6. Step 6: Final answer
    x = 206.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.