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Finding the Fourth Proportional to 315.81, 435.59 and 242.00

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Solution

The fourth proportional to 315.81, 435.59 and 242.00 is: 333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.81 : 435.59 = 242.00 : x
  2. Step 2: Convert to fraction form
    315.81/435.59 = 242.00/x
  3. Step 3: Cross multiply
    315.81x = 435.59 × 242.00
  4. Step 4: Simplify right side
    315.81x = 105,411.93
  5. Step 5: Solve for x
    x = 105,411.93/315.81
  6. Step 6: Final answer
    x = 333.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.