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Finding the Fourth Proportional to 249, 373.40 and 146.32

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Solution

The fourth proportional to 249, 373.40 and 146.32 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 373.40 = 146.32 : x
  2. Step 2: Convert to fraction form
    249/373.40 = 146.32/x
  3. Step 3: Cross multiply
    249x = 373.40 × 146.32
  4. Step 4: Simplify right side
    249x = 54,635.89
  5. Step 5: Solve for x
    x = 54,635.89/249
  6. Step 6: Final answer
    x = 219.42

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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.