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Finding the Fourth Proportional to 306.94, 460.42 and 101.52

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Solution

The fourth proportional to 306.94, 460.42 and 101.52 is: 152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.94 : 460.42 = 101.52 : x
  2. Step 2: Convert to fraction form
    306.94/460.42 = 101.52/x
  3. Step 3: Cross multiply
    306.94x = 460.42 × 101.52
  4. Step 4: Simplify right side
    306.94x = 46,741.84
  5. Step 5: Solve for x
    x = 46,741.84/306.94
  6. Step 6: Final answer
    x = 152.28

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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.