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Finding the Fourth Proportional to 287.10, 430.66 and 94.72

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Solution

The fourth proportional to 287.10, 430.66 and 94.72 is: 142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.10 : 430.66 = 94.72 : x
  2. Step 2: Convert to fraction form
    287.10/430.66 = 94.72/x
  3. Step 3: Cross multiply
    287.10x = 430.66 × 94.72
  4. Step 4: Simplify right side
    287.10x = 40,792.12
  5. Step 5: Solve for x
    x = 40,792.12/287.10
  6. Step 6: Final answer
    x = 142.08

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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.