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Finding the Fourth Proportional to 296.19, 444.40 and 148.06

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Solution

The fourth proportional to 296.19, 444.40 and 148.06 is: 222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.19 : 444.40 = 148.06 : x
  2. Step 2: Convert to fraction form
    296.19/444.40 = 148.06/x
  3. Step 3: Cross multiply
    296.19x = 444.40 × 148.06
  4. Step 4: Simplify right side
    296.19x = 65,796.38
  5. Step 5: Solve for x
    x = 65,796.38/296.19
  6. Step 6: Final answer
    x = 222.14

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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.