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Finding the Fourth Proportional to 307.10, 460.25 and 152.69

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Solution

The fourth proportional to 307.10, 460.25 and 152.69 is: 228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.10 : 460.25 = 152.69 : x
  2. Step 2: Convert to fraction form
    307.10/460.25 = 152.69/x
  3. Step 3: Cross multiply
    307.10x = 460.25 × 152.69
  4. Step 4: Simplify right side
    307.10x = 70,275.67
  5. Step 5: Solve for x
    x = 70,275.67/307.10
  6. Step 6: Final answer
    x = 228.84

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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.