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Finding the Fourth Proportional to 287.16, 430.56 and 143.04

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Solution

The fourth proportional to 287.16, 430.56 and 143.04 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.16 : 430.56 = 143.04 : x
  2. Step 2: Convert to fraction form
    287.16/430.56 = 143.04/x
  3. Step 3: Cross multiply
    287.16x = 430.56 × 143.04
  4. Step 4: Simplify right side
    287.16x = 61,587.30
  5. Step 5: Solve for x
    x = 61,587.30/287.16
  6. Step 6: Final answer
    x = 214.47

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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.