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Finding the Fourth Proportional to 256.23, 384.76 and 245.70

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Solution

The fourth proportional to 256.23, 384.76 and 245.70 is: 368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 384.76 = 245.70 : x
  2. Step 2: Convert to fraction form
    256.23/384.76 = 245.70/x
  3. Step 3: Cross multiply
    256.23x = 384.76 × 245.70
  4. Step 4: Simplify right side
    256.23x = 94,535.53
  5. Step 5: Solve for x
    x = 94,535.53/256.23
  6. Step 6: Final answer
    x = 368.95

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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.