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Finding the Fourth Proportional to 150.18, 223.65 and 146.40

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Solution

The fourth proportional to 150.18, 223.65 and 146.40 is: 218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.18 : 223.65 = 146.40 : x
  2. Step 2: Convert to fraction form
    150.18/223.65 = 146.40/x
  3. Step 3: Cross multiply
    150.18x = 223.65 × 146.40
  4. Step 4: Simplify right side
    150.18x = 32,742.36
  5. Step 5: Solve for x
    x = 32,742.36/150.18
  6. Step 6: Final answer
    x = 218.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.