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Finding the Fourth Proportional to 493.36, 740.13 and 146.66

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Solution

The fourth proportional to 493.36, 740.13 and 146.66 is: 220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.36 : 740.13 = 146.66 : x
  2. Step 2: Convert to fraction form
    493.36/740.13 = 146.66/x
  3. Step 3: Cross multiply
    493.36x = 740.13 × 146.66
  4. Step 4: Simplify right side
    493.36x = 108,543.22
  5. Step 5: Solve for x
    x = 108,543.22/493.36
  6. Step 6: Final answer
    x = 220.01

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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.