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Finding the Fourth Proportional to 223.23, 334.93 and 101.47

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Solution

The fourth proportional to 223.23, 334.93 and 101.47 is: 152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 334.93 = 101.47 : x
  2. Step 2: Convert to fraction form
    223.23/334.93 = 101.47/x
  3. Step 3: Cross multiply
    223.23x = 334.93 × 101.47
  4. Step 4: Simplify right side
    223.23x = 33,985.35
  5. Step 5: Solve for x
    x = 33,985.35/223.23
  6. Step 6: Final answer
    x = 152.24

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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.