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Finding the Fourth Proportional to 282.79, 423.93 and 100.16

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Solution

The fourth proportional to 282.79, 423.93 and 100.16 is: 150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.79 : 423.93 = 100.16 : x
  2. Step 2: Convert to fraction form
    282.79/423.93 = 100.16/x
  3. Step 3: Cross multiply
    282.79x = 423.93 × 100.16
  4. Step 4: Simplify right side
    282.79x = 42,461.87
  5. Step 5: Solve for x
    x = 42,461.87/282.79
  6. Step 6: Final answer
    x = 150.15

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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.