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Finding the Fourth Proportional to 302.47, 453.53 and 148.06

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Solution

The fourth proportional to 302.47, 453.53 and 148.06 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.47 : 453.53 = 148.06 : x
  2. Step 2: Convert to fraction form
    302.47/453.53 = 148.06/x
  3. Step 3: Cross multiply
    302.47x = 453.53 × 148.06
  4. Step 4: Simplify right side
    302.47x = 67,148.90
  5. Step 5: Solve for x
    x = 67,148.90/302.47
  6. Step 6: Final answer
    x = 222.01

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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.