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Finding the Fourth Proportional to 328.47, 492.06 and 154.89

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Solution

The fourth proportional to 328.47, 492.06 and 154.89 is: 232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.47 : 492.06 = 154.89 : x
  2. Step 2: Convert to fraction form
    328.47/492.06 = 154.89/x
  3. Step 3: Cross multiply
    328.47x = 492.06 × 154.89
  4. Step 4: Simplify right side
    328.47x = 76,215.17
  5. Step 5: Solve for x
    x = 76,215.17/328.47
  6. Step 6: Final answer
    x = 232.03

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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.