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Finding the Fourth Proportional to 287.02, 430.14 and 142.84

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Solution

The fourth proportional to 287.02, 430.14 and 142.84 is: 214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.02 : 430.14 = 142.84 : x
  2. Step 2: Convert to fraction form
    287.02/430.14 = 142.84/x
  3. Step 3: Cross multiply
    287.02x = 430.14 × 142.84
  4. Step 4: Simplify right side
    287.02x = 61,441.20
  5. Step 5: Solve for x
    x = 61,441.20/287.02
  6. Step 6: Final answer
    x = 214.07

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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.