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Finding the Fourth Proportional to 284.81, 392.94 and 174.24

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Solution

The fourth proportional to 284.81, 392.94 and 174.24 is: 240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.81 : 392.94 = 174.24 : x
  2. Step 2: Convert to fraction form
    284.81/392.94 = 174.24/x
  3. Step 3: Cross multiply
    284.81x = 392.94 × 174.24
  4. Step 4: Simplify right side
    284.81x = 68,465.87
  5. Step 5: Solve for x
    x = 68,465.87/284.81
  6. Step 6: Final answer
    x = 240.40

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Why These Related Problems?

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