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Finding the Fourth Proportional to 284.40, 392.43 and 186.15

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Solution

The fourth proportional to 284.40, 392.43 and 186.15 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 392.43 = 186.15 : x
  2. Step 2: Convert to fraction form
    284.40/392.43 = 186.15/x
  3. Step 3: Cross multiply
    284.40x = 392.43 × 186.15
  4. Step 4: Simplify right side
    284.40x = 73,050.84
  5. Step 5: Solve for x
    x = 73,050.84/284.40
  6. Step 6: Final answer
    x = 256.86

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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.