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Finding the Fourth Proportional to 307.60, 460.65 and 145.33

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Solution

The fourth proportional to 307.60, 460.65 and 145.33 is: 217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.60 : 460.65 = 145.33 : x
  2. Step 2: Convert to fraction form
    307.60/460.65 = 145.33/x
  3. Step 3: Cross multiply
    307.60x = 460.65 × 145.33
  4. Step 4: Simplify right side
    307.60x = 66,946.26
  5. Step 5: Solve for x
    x = 66,946.26/307.60
  6. Step 6: Final answer
    x = 217.64

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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.