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Finding the Fourth Proportional to 507.02, 760.65 and 141.80

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Solution

The fourth proportional to 507.02, 760.65 and 141.80 is: 212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.02 : 760.65 = 141.80 : x
  2. Step 2: Convert to fraction form
    507.02/760.65 = 141.80/x
  3. Step 3: Cross multiply
    507.02x = 760.65 × 141.80
  4. Step 4: Simplify right side
    507.02x = 107,860.51
  5. Step 5: Solve for x
    x = 107,860.51/507.02
  6. Step 6: Final answer
    x = 212.74

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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.