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Finding the Fourth Proportional to 460.25, 690.51 and 186.41

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Solution

The fourth proportional to 460.25, 690.51 and 186.41 is: 279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 690.51 = 186.41 : x
  2. Step 2: Convert to fraction form
    460.25/690.51 = 186.41/x
  3. Step 3: Cross multiply
    460.25x = 690.51 × 186.41
  4. Step 4: Simplify right side
    460.25x = 128,714.52
  5. Step 5: Solve for x
    x = 128,714.52/460.25
  6. Step 6: Final answer
    x = 279.67

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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.