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Finding the Fourth Proportional to 223.01, 307.80 and 153.21

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Solution

The fourth proportional to 223.01, 307.80 and 153.21 is: 211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.01 : 307.80 = 153.21 : x
  2. Step 2: Convert to fraction form
    223.01/307.80 = 153.21/x
  3. Step 3: Cross multiply
    223.01x = 307.80 × 153.21
  4. Step 4: Simplify right side
    223.01x = 47,158.04
  5. Step 5: Solve for x
    x = 47,158.04/223.01
  6. Step 6: Final answer
    x = 211.46

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