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Finding the Fourth Proportional to 319.16, 476.87 and 222.20

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Solution

The fourth proportional to 319.16, 476.87 and 222.20 is: 332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.16 : 476.87 = 222.20 : x
  2. Step 2: Convert to fraction form
    319.16/476.87 = 222.20/x
  3. Step 3: Cross multiply
    319.16x = 476.87 × 222.20
  4. Step 4: Simplify right side
    319.16x = 105,960.51
  5. Step 5: Solve for x
    x = 105,960.51/319.16
  6. Step 6: Final answer
    x = 332.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.