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Finding the Fourth Proportional to 204.72, 307.08 and 102

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Solution

The fourth proportional to 204.72, 307.08 and 102 is: 153

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.72 : 307.08 = 102 : x
  2. Step 2: Convert to fraction form
    204.72/307.08 = 102/x
  3. Step 3: Cross multiply
    204.72x = 307.08 × 102
  4. Step 4: Simplify right side
    204.72x = 31,322.16
  5. Step 5: Solve for x
    x = 31,322.16/204.72
  6. Step 6: Final answer
    x = 153

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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.