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Finding the Fourth Proportional to 328.16, 491.84 and 145.52

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Solution

The fourth proportional to 328.16, 491.84 and 145.52 is: 218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.16 : 491.84 = 145.52 : x
  2. Step 2: Convert to fraction form
    328.16/491.84 = 145.52/x
  3. Step 3: Cross multiply
    328.16x = 491.84 × 145.52
  4. Step 4: Simplify right side
    328.16x = 71,572.56
  5. Step 5: Solve for x
    x = 71,572.56/328.16
  6. Step 6: Final answer
    x = 218.10

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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.