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Finding the Fourth Proportional to 411.98, 618 and 123.38

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Solution

The fourth proportional to 411.98, 618 and 123.38 is: 185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.98 : 618 = 123.38 : x
  2. Step 2: Convert to fraction form
    411.98/618 = 123.38/x
  3. Step 3: Cross multiply
    411.98x = 618 × 123.38
  4. Step 4: Simplify right side
    411.98x = 76,248.84
  5. Step 5: Solve for x
    x = 76,248.84/411.98
  6. Step 6: Final answer
    x = 185.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.