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Finding the Fourth Proportional to 223.02, 307.64 and 153.06

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Solution

The fourth proportional to 223.02, 307.64 and 153.06 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.02 : 307.64 = 153.06 : x
  2. Step 2: Convert to fraction form
    223.02/307.64 = 153.06/x
  3. Step 3: Cross multiply
    223.02x = 307.64 × 153.06
  4. Step 4: Simplify right side
    223.02x = 47,087.38
  5. Step 5: Solve for x
    x = 47,087.38/223.02
  6. Step 6: Final answer
    x = 211.14

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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.