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Finding the Fourth Proportional to 215.28, 294.93 and 207.06

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Solution

The fourth proportional to 215.28, 294.93 and 207.06 is: 283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.28 : 294.93 = 207.06 : x
  2. Step 2: Convert to fraction form
    215.28/294.93 = 207.06/x
  3. Step 3: Cross multiply
    215.28x = 294.93 × 207.06
  4. Step 4: Simplify right side
    215.28x = 61,068.21
  5. Step 5: Solve for x
    x = 61,068.21/215.28
  6. Step 6: Final answer
    x = 283.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.