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Finding the Fourth Proportional to 302.50, 453.88 and 97.10

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Solution

The fourth proportional to 302.50, 453.88 and 97.10 is: 145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.50 : 453.88 = 97.10 : x
  2. Step 2: Convert to fraction form
    302.50/453.88 = 97.10/x
  3. Step 3: Cross multiply
    302.50x = 453.88 × 97.10
  4. Step 4: Simplify right side
    302.50x = 44,071.75
  5. Step 5: Solve for x
    x = 44,071.75/302.50
  6. Step 6: Final answer
    x = 145.69

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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.