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Finding the Fourth Proportional to 307.32, 461.06 and 101.88

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Solution

The fourth proportional to 307.32, 461.06 and 101.88 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.32 : 461.06 = 101.88 : x
  2. Step 2: Convert to fraction form
    307.32/461.06 = 101.88/x
  3. Step 3: Cross multiply
    307.32x = 461.06 × 101.88
  4. Step 4: Simplify right side
    307.32x = 46,972.28
  5. Step 5: Solve for x
    x = 46,972.28/307.32
  6. Step 6: Final answer
    x = 152.84

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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.