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Finding the Fourth Proportional to 283.40, 424.95 and 100.77

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Solution

The fourth proportional to 283.40, 424.95 and 100.77 is: 151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.40 : 424.95 = 100.77 : x
  2. Step 2: Convert to fraction form
    283.40/424.95 = 100.77/x
  3. Step 3: Cross multiply
    283.40x = 424.95 × 100.77
  4. Step 4: Simplify right side
    283.40x = 42,822.21
  5. Step 5: Solve for x
    x = 42,822.21/283.40
  6. Step 6: Final answer
    x = 151.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.