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Finding the Fourth Proportional to 456.06, 684.16 and 147.81

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Solution

The fourth proportional to 456.06, 684.16 and 147.81 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.06 : 684.16 = 147.81 : x
  2. Step 2: Convert to fraction form
    456.06/684.16 = 147.81/x
  3. Step 3: Cross multiply
    456.06x = 684.16 × 147.81
  4. Step 4: Simplify right side
    456.06x = 101,127.13
  5. Step 5: Solve for x
    x = 101,127.13/456.06
  6. Step 6: Final answer
    x = 221.74

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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.