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Finding the Fourth Proportional to 145.28, 214.88 and 145.28

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Solution

The fourth proportional to 145.28, 214.88 and 145.28 is: 214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.28 : 214.88 = 145.28 : x
  2. Step 2: Convert to fraction form
    145.28/214.88 = 145.28/x
  3. Step 3: Cross multiply
    145.28x = 214.88 × 145.28
  4. Step 4: Simplify right side
    145.28x = 31,217.77
  5. Step 5: Solve for x
    x = 31,217.77/145.28
  6. Step 6: Final answer
    x = 214.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.