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Finding the Fourth Proportional to 205.24, 307.64 and 102.32

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Solution

The fourth proportional to 205.24, 307.64 and 102.32 is: 153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 307.64 = 102.32 : x
  2. Step 2: Convert to fraction form
    205.24/307.64 = 102.32/x
  3. Step 3: Cross multiply
    205.24x = 307.64 × 102.32
  4. Step 4: Simplify right side
    205.24x = 31,477.60
  5. Step 5: Solve for x
    x = 31,477.60/205.24
  6. Step 6: Final answer
    x = 153.37

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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.