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Finding the Fourth Proportional to 284.16, 425.90 and 101.46

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Solution

The fourth proportional to 284.16, 425.90 and 101.46 is: 152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 425.90 = 101.46 : x
  2. Step 2: Convert to fraction form
    284.16/425.90 = 101.46/x
  3. Step 3: Cross multiply
    284.16x = 425.90 × 101.46
  4. Step 4: Simplify right side
    284.16x = 43,211.81
  5. Step 5: Solve for x
    x = 43,211.81/284.16
  6. Step 6: Final answer
    x = 152.07

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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.