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Finding the Fourth Proportional to 328.13, 491.84 and 145.65

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Solution

The fourth proportional to 328.13, 491.84 and 145.65 is: 218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.13 : 491.84 = 145.65 : x
  2. Step 2: Convert to fraction form
    328.13/491.84 = 145.65/x
  3. Step 3: Cross multiply
    328.13x = 491.84 × 145.65
  4. Step 4: Simplify right side
    328.13x = 71,636.50
  5. Step 5: Solve for x
    x = 71,636.50/328.13
  6. Step 6: Final answer
    x = 218.32

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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.